5^11/5^n=5^4

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Solution for 5^11/5^n=5^4 equation: 



5^11/5^n=5^4

We move all terms to the left:

5^11/5^n-(5^4)=0



Domain of the equation: 5^n!=0

n!=0/1

n!=0

n∈R



We add all the numbers together, and all the variables

5^11/5^n-625=0

We multiply all the terms by the denominator


-625*5^n+5^11=0

We add all the numbers together, and all the variables

-625*5^n+48828125=0

Wy multiply elements

-3125n+48828125=0

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

-3125n=-48828125

n=-48828125/-3125

n=+15625

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