solving exponential equation 8^3x+4 = 4^2x-1

Answers

Answer 1

Answer:

x = -14/5

Step-by-step explanation:

Given: 8^(3x+4) = 4^(2x-1)

Rewrite with same base: (2^3)^(3x+4) = (2^2)^(2x-1)

Use exponent rules: 2^(3(3x+4)) = 2^(2(2x-1))

Eliminate bases: 3(3x+4) = 2(2x-1)

9x+12 = 4x-2

5x+12 = -2

5x = -14

x = -14/5


Related Questions

hii! please help asap. i’ll give brainliest

Answers

Answer:

Its the last one letter D.

Answer:

It's D.

Step-by-step explanation:

Hope this helped. :D

for the data set shown in the scatterplot what is the best approximation of the slope for the line of best fit a. 5 b. 10 c. 15 D. 20

Answers

where’s the data set?

A customer has $10 to insert into a jukebox that plays songs for

$1 each. When a represents whole numbers less than 10, the

function f (x) = 10 - a represents the amount of money remaining

after a songs are played on the jukebox.

What is the value of f (7), in dollars and cents?

$

Answers

it’s 3 because 10-7=3

Help solve this please and thank you :-)

Answers

Answer:

-22

-14

6

10

18

Step-by-step explanation:

just plug in the x on the equation

Please help!
6. What is the area of the shaded region created by segment BC? work. (Look closely at the picturell The 85° is only labeling the right side of the angle, NOT the whole thing) Show your work​

Answers

Answer:

13.88 square cm

Step-by-step explanation:

had it on my test :)

The area of the shaded region created by segment BC is: 13.88 cm²

What is the area of circle circumscribing a  triangle?

An imaginary tangent line stretching from the triangle's two sides plus a section of the curve that is tangent to one side create this combination. The formula for the radius of a circle enclosing a triangle is

r = ABC / 4A.

Solution:

area of sector ABC = 85/360 × π × (7.3)² cm²

                              = 39.53 cm²

area of triangle ABC = 1/2 × 9 × 5.7 cm²

                                = 25.65 cm²

area of shaded region = area of sectot ABC ₋ area of triangle ABC

                                   = 39.53 ₋ 25.65

                                   = 13.88 cm²

Hence the area of shaded region is 13.88 cm²

Learn more about Circles here-

brainly.com/question/24375372

#SPJ2

Malik got a 200 cafe gift on January 1. He always orders decaf mochas which cost 5 each. At the end of January, maliks gift card has 125 left. Write an equation with x as your variable.

Answers

Answer:

200 - 5x = 125

Step-by-step explanation:

Let the number of orders made by Malik in the month of January = x

Each order costs = $5

Total cost of decaf mochas in one order = $5x

Malik had cake gift on 1st of January = $200

Amount of money left with Malik at the end of January = $125

Therefore, equation representing this situation will be,

200 - 5x = 125

Please help. I just need to get this done lol.

Answers

Answer:

1/16

Step-by-step explanation:

tom travels at an average speed 36mph for 2 hours 20 min find the total distance tom travels

Answers

Answer:

79.2 miles

Step-by-step explanation:

Jersey village population in 1950 was 10,173. The population increases by 8.9% every 10 years. Predict the population in 2020

Answers

Answer:

Future Value= 18,478 people

Step-by-step explanation:

eGiving the following information:

Present value (PV)= 10,173

Growth rate (g)= 0.089 every 10 years

Number of periods (n)= 7

To calculate the population in 2020, we need to use the following formula:

FV= PV*(1 + g)^n

FV= 10,173*(1.089^7)

FV= 18,478 people

A number cube has sides labeled 1 to 6. Hannah rolls the number cube 18 times. What is the probability of rolling a number less than 3? ​

Answers

Answer:

1/3

Step-by-step explanation:

hope this helps!

hey guys please i really need help and no links or u will get reported give me the correct answer please

Answers

Answer:

a is the corect answer

Step-by-step explanation:

If you know that cosine of the obtuse supplementary angle -0.3456 what can you determine about the acute angle

Answers

Answer:

69.8°

Step-by-step explanation:

Since cosФ = -0.3456

Ф = cos⁻¹(-0.3456)

Ф = 110.2°

Since the angles are supplementary, let the acute angle be x

So, x + 110.2° = 180°

x = 180° - 110.2°

x = 69.8°

Find the volume of the solid. NO LINKS PLEASE HELP

Answers

Answer:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

Step-by-step explanation:

Work out the surface area of this solid prism.
8m
5m
3m
4m

Answers

480 m I am guessing,.....

(12 points) help pls it’s sue today ;-;

Answers

Answer:

$65

Step-by-step explanation:

x is the number of items sold, and y is the profit, so we need to calculate

y = 35x - 250

where x=9

y = 35*9 - 250 = 315 - 250 = 65

So the total profit is 65 dollars

Mrs. Roberts sewed m shirts using 2 yards of cloth for each shirt. She also sewed (m+2) dresses, using 5 yards of cloth for each dress. A) How much cloth did she use altogether? Give your answer in terms of m. B) If m= 7, find how much more cloth she used to sew the dresses than the shirts.

Answers

Answer:

7m + 10

31 yards

Step-by-step explanation:

Shirts :

Number of shirts sewed = m

Yards of cloth used per shirt = 2 yards

Number of dresses sewed = m + 2

Yards of cloth used per dress = 5 yards

Cloth used altogether :

Cloths used for shirt = 2 * m = 2m

Cloth used for dress = 5 * (m+2) = 5m + 10

2m + (5m + 10) = 7m + 10

If m = 7

Cloth used for dress - Cloth used for shirt

(5(7) + 10) - (2(7))

(35+10) - 14

45 - 14 = 31 yards

HELP ME WITH THIS PLS
ASAP!!

Answers

Answer:

B) y = -5x+4

Step-by-step explanation:

y = mx+b

In this formula, b is the y intercept, in this case 4.

When the y-intercept it positive, it is above the x-axis.

There are 15 kittens at the animal shelter, and i want to adopt 2 of them. How many different pairs of 2 are there?

Answers

7

Hope this helped hope you have a good day

Evaluate the expression

Answers

22 I think I’m so sorryrrrr

Answer:

9+6(2)2+4

15(4)+4

60+4

64

It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?

Answers

Answer:

969 hours

Step-by-step explanation:

57x17=969. It would take them 969 hours.

What expression is equivalent to m(n+p)

Answers

Answer:

mn + mp

Step-by-step explanation:

m(n + p) =

m(n) + m(p) =

mn + mp

Hope that helps! :)

-Aphrodite

The equivalent expression for the algebra m(n+p) is mn + mp.

What are equivalent expressions?

Equivalent expressions are similar expressions that when being solved provide the same solution. Equivalent expressions are used widely in the expansion of algebraic equations.

From the given information, we have:

=  m(n + p)

To determine the equivalent expression for the above algebraic equation, we need to expand the bracket as follows:

= m(n) + m(p)

= mn + mp

Learn more about equivalent expression here:

https://brainly.com/question/24734894

What is the largest number that divides 42 and 90​

Answers

6 is the largest number that divides 42 and 90

Pls answer and no links pls

Answers

Answer:

Step-by-step explanation:

She used 16 pints and i am 100% positive this answer is correct

Kylie spent $13.80 to buy 30 popsicles for her classmates. How much did each popsicle
cost?

Answers

Answer:

0.46

Step-by-step explanation:

13.80/0.46

just divide

if you divide 30 by 13.80 you should get $2.17

Please help with this Algebra II question.

Answers

Answer:

omg im doing alg 2 next year. that looks so complicated im gunna scream

Step-by-step explanation:

How do you find the mean, median, mode, and range of a set of numbers?

Answers

Answer:

You find the mean by adding all the numbers together then divide the sum of that by the amount of numbers there are. You find the median by looking at the middle number. You find the mode by looking at the most used number. You find the range by subtracting the highest and lowest numbers.

Step-by-step explanation:

say you have these numbers ( 8, 7, 17, 12, 0, 9, 11, 5, 8)

Mean:

8 + 7 + 12 + 17 + 0 + 9 + 11 + 5 + 8 = 77

77 ÷ 9 = 8.5

Median: 0

Mode: 8

Range: 17 - 0 = 17

Answer:

median is the middle number

but if the are two numbers in middle u add those two n divide by 2

range is the biggest number subtract lowest number

mean is total average divide by the number of data

mode is the number that appears many times

Can someone please help me with this

Answers

Answer:

I believe your answer would be -1

Step-by-step explanation:

The answer should be -1

which expression can he used to find the surface area of the following sqare pyramid​

Answers

Answer:

answer: A

Because when doing area for triangles its

base × height ÷ 2 so for 1 triangle it would be 5 × 4 = 20 then ÷ by 2 so 20 ÷ 2 = 10 Since there are 4 triangles we will have to add 10 4 times and then for the square it's easily just 4 × 4 = 16

so it would come out to 16 + 10 + 10 + 10 + 10 =

20-9x+4y+7-x
Need help

Answers

Answer:

[tex]-10x + 4 y + 27[/tex]

Step-by-step explanation:

Answer: -10x+4y+27

Step-by-step explanation: first, combine the like terms

20 + 7= 27

-9x-x=-10x

4y stays the same so, if simplified this equals

-10x+2y+27

Which expression is not a polynomial?

Answers

Answer:

B.

Step-by-step explanation:

For an expression to be a polynomial , it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Answer:

B

Step-by-step explanation:

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