### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-158

9-158.

Solve each equation. Homework Help ✎

log

_{3}(2*x*− 1) = −25

^{log}_{5}(*x*) = 3log

_{2}(*x*) − log_{2}(3) = 4log

_{3}(5) =*x*

Convert the equation into exponential form.

3^{−2} = 2*x* − 1

Now solve for *x*.

Remember the rule *b* ^{log}_{b}(N) = N

*x* = 3

Remember the rule that log(N)−log(M) = log(N/M).

3* ^{x}* = 5