Divide both side by 50 first.
Then undo the powers on both sides.
(x2/3)3/2 = 23/2
Combine the terms on the left side into one log.
log3((x + 1)(x)) = log312
(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).