How do i solve for x here? use the properties of logarithms to find a value for x. assume a, b, and m are constants. the answer in the back of the textbook is but i am unsure how to get to that solution. do i start with ln(a) + ln(b)^x?

Yes, you're right! The first step is rewriting the equation as

Subtract from both sides:

Use the property to rewrite the equation as

Divide both sides by

Alternative strategy:

Consider both sides as exponents of e:

Use to write

Divide both sides by a:

Consider the logarithm base b of both sides:

The two numbers are the same: you can check it using the rule for changing the base of logarithms