5=(1/625)^x-5

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Solution for 5=(1/625)^x-5 equation: 



5=(1/625)^x-5

We move all terms to the left:

5-((1/625)^x-5)=0



Domain of the equation: 625)^x-5)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

-((+1/625)^x-5)+5=0

We multiply all the terms by the denominator


-((+1+5*625)^x-5)=0



We calculate terms in parentheses: -((+1+5*625)^x-5), so:

(+1+5*625)^x-5

We add all the numbers together, and all the variables

3126^x-5

Back to the equation:

-(3126^x-5)



We get rid of parentheses

-3126^x+5=0

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

-3126^x=-5

x=-5/1

x=-5

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