Solve the following exponential equation:

5^x=2

e^x=10​

Answers

Answer 1

Number 1.

[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,

[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]

Number 2

[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,

[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]


Related Questions

122 is what percent of 145?

Answers

Answer:

84.1379%

Step-by-step explanation:

122 / 145 = 0.841379

(0.841379)(100) = 84.1379%

Expand and simplify 4(x-3)+3(2x-5).

Answers

[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]

Find the circumference of a circle with a radius of 8 mm.​

Answers

Answer:

C=50.27mm

Step-by-step explanation:

C=2πr=2·π·8≈50.26548mm

if v = 6i + 3j, what is ||-10v||

Answers

The values of ||-10v|| is 51.96 units

Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.

The general form of a complex number is expressed as z = x + iy

Given the complex number v = 6i + 3j,

10v is expressed as 10(6i + 3j)

10(6i + 3j) = 60i + 30j

Take the modulus of the complex number:

[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]

Hence the values of ||-10v|| is 51.96 units

Learn more on the complex numbers here: https://brainly.com/question/10662770

Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6

Answers

Answer:

358

Step-by-step explanation:

576

Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14​

Answers

Answer: 24

Explanation: Put them in order from lowest to greatest

13,14,18,21,22,26,32,39,39,42

Find the two middle numbers and add them then divide by 2.

22+26=48
48/2=24

Answer:

24

Step-by-step explanation:

13,14,18,21,22,26,32,39,39,42

middle is 22 and 26

therefore you add and divide by 2

then you'll get 24

whats the perimeter of a semi circle which's radius is 100cm

Answers

Answer:

257 cm

Step-by-step explanation:

hope this helps Please inform me when it hepls

and Please mark me as Brainlist

II
Homework: Secti...
Question 2, 7.1.5
>
Find the critical value Za/2 that corresponds to the given confidence level.
95%
.....
za/2
(Round to two decimal places as needed.)
(

Answers

Answer:

2.17

Answer and Explanation:

The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...

During a chess match there are 15 pieces left on the board. the ratio of the white pieces to black pieces is 3 : 2 how many white pieces are on the white board?

Answers

Answer:   9

==========================================================

Explanation:

The ratio 3:2 scales up to 3x:2x for some positive whole number x.

We have 3x white pieces, 2x black pieces, and 3x+2x = 5x pieces total. Set this equal to the 15 mentioned and solve for x.

5x = 15

5x/5 = 15/5

x = 3

Therefore, there are 3x = 3*3 = 9 white pieces and 2x = 2*3 = 6 black pieces, which gives 9+6 = 15 total. The ratio 9:6 reduces to 3:2 after dividing both parts by the GCF 3.

Find the value of x need help

Answers

Answer:

x = -8

Step-by-step explanation:

Angle 2 would be the same as 139

thus if angle 2 = x+147

then

139 = x + 147

x = -8

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See below

Step-by-step explanation:

Dilation is 1/2

U (2, 3) U' (1, 1.5)

V (1, -2) V' (0.5, -1)

Tracy bought a can of yellow paint to use on the table and chairs in her backyard. She used 1.25 liters of paint on the chairs. She has less than 3 liters of paint left for the table.

Answers

The inequality that describes the given problem is x - 1.25 < 3.

The given parameters:

Number of paints used on the chair, = 1.25 LitersNumber of paints left for the table, less than 3 liters

Let the number of liters in one can of yellow paint = x

The following inequality can be used to represent the liters of paint left for the table.

the liters of paint left = x - 1.25

The liters of paint left is less than 3 liters;

x - 1.25 < 3

Thus, the inequality that describes the given problem is x - 1.25 < 3.

The missing part of the question is below:

Write the inequality that describes the given problem

Learn more about word problem of inequality: https://brainly.com/question/1194852

Which number one shows Point A at-2, Point B at 35, Point Cat-3
1-2 1 / 2
and point, which is the opposite of point ?
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5

Answers

Answer:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

Find the values of sin, cosine, and tangent, for

Answers

A B=5
sin=3/5
cos=4/5
tan=3/4

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

4(1.75y − 3.5) + 1.25y

Answers

Hello there

This is a simple algebra problem, that we will be solving...

First let's use [tex]PEMDAS[/tex], and [tex]DISTRIBUTIVE\:PROPERTY[/tex]

______________

[tex]{\huge{\boxed{\mathbb{PEMDAS}}}[/tex]

Parenthesis Exponents Multiplication or Division Addition or Subtraction

______________

[tex]{\huge{\boxed{\mathbb{DISTRIBUTIVE\:PROPERTY}}[/tex]

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

______________

[tex]4(1.75y-3.5)+1.25y[/tex], first distribute...

[tex]7y-14+1.25y[/tex], combine like terms, and we get [tex]8.25y-14[/tex] as our answer

3] If the p.d.f., of the random variable X is given by

f(x)= K/sqrt x &0 otherwise

(c) P(|X| < 3)

(d) E(2X - 2)

(e) V(3X)

Answers

Answer:

PDF for a continuous random variable is given. Use the PDF to find (a) and the CDF.

find the value of log9 0.24. (hint: log2=0.301 log3=0.477)

Answers

Answer:  -0.65 approximately

Work Shown:

[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]

A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?

Answers

To find percentage: divide the given value by the total and multiply by 100

546/1300 x 100 = 42%

Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?

Answers

Answer

To make 15 pies, it will take Alex 20 hours

Step-by-step explanation:

3 x 5 = 15 pies

4 x 5 = 20 hours

URGENT PLEASE HELP simplify (3^8 / 3^5)^3

Answers

The last option becuz math hero told me

help me out please ???!!!​

Answers

The first one lol

..........................

Answer:

√18=√3×3×2=3√2 hope this helps you.

What is the simplest form of

Answers

Answer:

B

Step-by-step explanation:

Good night, can someone please help me?

Answers

I Think Operation A is write

Which function has a greater rate of change?

Answers

Answer:

Function A

Step-by-step explanation:

In function A as x increases by 1, y increases by 5.

In function B there is a slope of -4.5 which means as x increases by 1, y increases by -4.5.

Rate of change of 5 is greater than a rate of change of -4.5.

Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Complete the explanation of your reasoning.

Answers

Answer:

Step-by-step explanation:

A 6pint bucket of paint costs $28.44 what is the price per cup

Answers

Answer:

I think there answer is 4.74

Step-by-step explanation:

so you divide

[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]

How do I Subtract fractions! Please explain step by step to get marked

Answers

Answer:

1) Make sure the bottom numbers (the denominators) are the same.

2) Subtract the top numbers (the numerators). Put the answer over the same denominator.

3) Simplify the fraction (if needed).

Step-by-step explanation:

Hope this helps!

For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT

Answers

Answer:

56

Step-by-step explanation:

56 would be ya answer

If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.

Answers

Answer:

16 sqft.

Step-by-step explanation:

A=L(W)

A=4(4)

A=16

Hope that helps

Which coordinate grid shows Point A at (0.50, −1.25)?

Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 2 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the right of the y-axis and 2 grid lines below the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the left of the y-axis and 5 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.

Answers

Answer:

The last option is the correct one

Step-by-step explanation:

Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.

2(¼) = 0.5

5(-¼) = - 1.25

Answer: i think is A is i am doing the same test if i am wrong please tell me

Step-by-step explanation:

Other Questions
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 greenballs in a container. A ball is chosen at random. What is the probability of choosing red?8)What is the probability of choosing green?9) What is the probability of choosing either red or white?10) What is the probability of choosing neither white nor green?11) What is the probability of choosing other than yellow?12) What is the probability of choosing black? Which answer shows the superlative form of the adverb fast?A. The girl down the street is a faster swimmer than I am.B. The girl who swam fast at the meet lives down the street.C. The girl who had the fastest swim time lives down the street.D. The girl with the faster than average swim time lives down the street. Look at the diagram of metallic bonding. The light blue area represents a sea of... what? Choose the word with the different stress pattern. 1. A. decide B. combine C. apply D. happen 2. A. believe B. marriage C. response D. maintain 3. A. confident B. important C. together D. exciting 4. A. possible B. university C. secondary D. suitable 5. A. mother B. behave C. money D. pizza Summarize the transportation of gases in the human body (respiratory system) what is actually chemistry Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction. explain the effect of germination on pea seed respiration Logical flow in a paper is also known as ____.unityparallelism coherence emphasis What is photosynthesis?? The verticles of a triangle are the points R(3,c),Q(9,2) and R(3c,11) where c is constant. Given that angle PQR is 90 HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP PLZZZZZZZZZZZZZZZZZZZZZ FAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAST THXXXXXXX HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEE\Which reference work would be most helpful in finding other forms of the noun torrent?an encyclopediaa thesaurusa dictionarya glossary Answer my questions please!! This questions is for the ones how knows and speak Spanish!!Please, someone answer it for meeee! What is Islam?When did Islam begin?Who started Islam?Where was Islam started? Where did Islam spread? Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve. Which answer choice shows the correct width and length of a rectangle with a perimeter of 220 inches? A. Length: 40 in.; Width: 62 in. B. Length: 11 in.; Width: 20 in. C. Length: 10 in.; Width: 20 in. D. Length: 50 in.; Width: 60 in. some help, I need some answers WILL GIVE BRAINLIEST HELP ASAP!! WILL ADD 5 STAR RATING !!! ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!! [please put in correct order] PT. 3 OF MY HW IT IS UNIT RATE PLZ HELPUse the distributive property to remove the parentheses.