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4-61.
  1. Solve the following equations. Homework Help ✎

    1. 50x2/3 = 100

    2. log3(x + 1) + log3(x) = log3 12

    3. 50 ()x = 100

    4. log3(x + 1) − log3(x) = log3 12

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).