5^4=125^x-1

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Solution for 5^4=125^x-1 equation: 



5^4=125^x-1

We move all terms to the left:

5^4-(125^x-1)=0

We add all the numbers together, and all the variables

-(125^x-1)+625=0

We get rid of parentheses

-125^x+1+625=0

We add all the numbers together, and all the variables

-125^x+626=0

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

-125^x=-626

x=-626/1

x=-626

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