Question

Find the value of x for which (2)^3x = 8^2.​

Answer 1

x = 2

Explanation:

Using the rule of exponents

`(a^m)^(n)` =
`a^(mn)`

`(2)^(3x)` =
`2^(3x)` and 8 = (2³ )² =
`2^(6)` , so

`2^(3x)` =
`2^(6)`

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2