5^6/5^m=5^9

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Solution for 5^6/5^m=5^9 equation: 



5^6/5^m=5^9

We move all terms to the left:

5^6/5^m-(5^9)=0



Domain of the equation: 5^m!=0

m!=0/1

m!=0

m∈R



We add all the numbers together, and all the variables

5^6/5^m-1953125=0

We multiply all the terms by the denominator


-1953125*5^m+5^6=0

We add all the numbers together, and all the variables

-1953125*5^m+15625=0

Wy multiply elements

-9765625m+15625=0

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

-9765625m=-15625

m=-15625/-9765625

m=1/625

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