Question 585897
5^(x+2)=25^x


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


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


Since the bases are equal, the exponents are equal


x+2=2x


2 = 2x-x


2 = x


x = 2


So the answer is <font color="red">x = 2</font>

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