Evaluate each log without a calculator

QUESTION 1

The given logarithm is

Let .

We rewrite in exponential form to get;

We rewrite both sides of the equation as an index number to base 3.

Since the bases are the same, we equate the exponents.

Divide both sides by 5.

QUESTION 2

The given logarithm is

We rewrite both the base and the number as power to base 5.

Recall that:

We apply this property to obtain;

idk but i found this "the graph of y = f(x-2) is the graph of y = f(x) translated two units rightward.  

so, since the point (9,2) lies on the graph of y = f(x), the point (11,2) lies on the graph of y = f(x-2)."

step-by-step explanation:

link is