### Home > PC > Chapter 4 > Lesson 4.1.4 > Problem 4-61

4-61.

Solve the following equations. Homework Help ✎

50

*x*^{2/3}= 100log

_{3}(*x*+ 1) + log_{3}(*x*) = log_{3}1250 (

) = 100^{x}log

_{3}(*x*+ 1) − log_{3}(*x*) = log_{3}12

Divide both side by 50 first.

Then undo the powers on both sides.

(*x*^{2/3})^{3/2} = 2^{3/2}

Combine the terms on the left side into one log.

log_{3}((*x* + 1)(*x*)) = log_{3}12

(*x* + 1)(*x*) = 12

Divide by 50 first.

Then take the log of both sides, bringing the *x* down in front.

Solve for *x*.

This problem is similar to part (b).