(5^x)^2=5^6

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Solution for (5^x)^2=5^6 equation: 



(5^x)^2=5^6

We move all terms to the left:

(5^x)^2-(5^6)=0

We add all the numbers together, and all the variables

5^x^2-15625=0

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

5^x^2=15625

x=15625/1

x=15625

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