Solving for an unknown in the exponent

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We continued with simplifying using the laws of exponents, and began problems with the exponent in the unknown, such as:

25^x = 125^(x+1)

First try to reduce the bases to the smallest possible number (integer):

(5^2)^x = (5^3)^(x+1)

Simplify using the laws of exponents

5^2x = 5^(3x+3)

Now, since the bases are the same, the exponents must be the same as well. So,

2x = 3x + 3
-3x -3x
-x = -3
x = 3

Homework is p.160 #12,13