Hello, Philip!

I must assume you know the basic properities of logs . . .

2. Express as a single logarithm

(a) We have: .

(b) We have: .

. .

3. Solve each equation

(a) We have: .

Get the same base on both sides: .

. . And we have: .

Since the bases are equal, then the exponents are equal.

. .

(b) We have: .

. .

Since the bases are equal, the "arguments" are equal: .

(c) We have: .

Then: .

. . We have a quadratic: .

. . Quadratic Formula: .

We find that is an extraneous root.

Therefore, the only solution is: .