Question

Please answer fast!!!!!

Explain the steps you would use to solve the equation. Find the solution.
8^2x=4096

Answer 1

x = 2

Explanation:

note that 4096 =
`8^(4)` , then

`8^(2x)` =
`8^(4)`

Since bases on both sides are equal, both 8 , then equate the exponents

2x = 4 ( divide both sides by 2 )

x = 2

Answer 2

x = 2

Explanation:

`8^(2x) = 4096`

Step 1 :- Write 4096 in the exponential form with the base of 8.

`8^(2x) = 8^4`

Step 2 :- Since the base of both equation is same , set the exponents equal.

2x = 4

Step 3 :- Divide both side by 2

`{2x}{2} = (4 )/(2)`

x = 2