Question

How do you solve `log_8(x-5)=2/3`?

Answer 1

x = 9.

Explanation:

Use `log_b a = log a/log b and log a^n = n log a`.

Accordingly, `log_8(x-5)=log (x-3)/log 8`.

So,# log (x-5)=(2/3) log 8=log (8^(2/3)).

Now, `x-5=8^(2/3)=(2^3)^(2/3)=2^2=4`. So, x = 9.