Question

8^x = 2 Write down the value of x.​

Answer 1

x =
`(1)/(3)`

Explanation:

using the rule of exponents

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

`8^(x)` = 2

`2^3)^(x)` = 2 , that is

`2^(3x)` =
`2^(1)`

since the bases on both sides are equal, both 2, then equate the exponents

3x = 1 ( divide both sides by 3 )

x =
`(1)/(3)`