5^x=5^3-2

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Solution for 5^x=5^3-2 equation: 



5^x=5^3-2

We move all terms to the left:

5^x-(5^3-2)=0

We add all the numbers together, and all the variables

5^x-123=0

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

5^x=123

x=123/1

x=123

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