Question

Find the value of x in the following:

log_x 8 = 6

Answer 1

To solve log_x 8 = 6, rewrite it in exponential form:

x⁶ = 8

Now take the sixth root of both sides:

`x = root(6)(8)`

Since 8 = 2³, we get:

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

= `2^(3//6)`

= `2^(1//2)`

`x = sqrt(2)`