Question

How do you condense `1/2log_8(x+5)-3log_8(y)`?

Answer 1

In this problem, the following log rules will be used:

Explanation:

`alogn = logn^a`

`log_na - log_nb = log_n(a/b)`

Since `x^(1/2)` = `sqrt(x)` (by the rule `a^(n/m) = root(n)(a^m)`):

`log_8sqrt(x + 5) - log_8(y^3)`

`log_8((sqrt(x + 5))/(y^3))`

Thus, you have your answer, in simplest form.

Hopefully this helps.