5^19/5^r=5^6

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Solution for 5^19/5^r=5^6 equation: 



5^19/5^r=5^6

We move all terms to the left:

5^19/5^r-(5^6)=0



Domain of the equation: 5^r!=0

r!=0/1

r!=0

r∈R



We add all the numbers together, and all the variables

5^19/5^r-15625=0

We multiply all the terms by the denominator


-15625*5^r+5^19=0

We add all the numbers together, and all the variables

-15625*5^r+19073486328125=0

Wy multiply elements

-78125r+19073486328125=0

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

-78125r=-19073486328125

r=-19073486328125/-78125

r=+244140625

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