(5^n)(5^2)=5^16

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Solution for (5^n)(5^2)=5^16 equation: 



(5^n)(5^2)=5^16

We move all terms to the left:

(5^n)(5^2)-(5^16)=0

We add all the numbers together, and all the variables

5^n5^2-152587890625=0

We move all terms containing n to the left, all other terms to the right

5^n5^2=152587890625

n=152587890625/1

n=152587890625

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