5(4^(x-1))=1/(3^(2x))

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Solution for 5(4^(x-1))=1/(3^(2x)) equation:



5(4^(x-1))=1/(3^(2x))
We move all terms to the left:
5(4^(x-1))-(1/(3^(2x)))=0
Domain of the equation: (3^2x))!=0
x!=0/1
x!=0
x∈R
determiningTheFunctionDomain 5(4^(x-1))-(1/3^2x)=0
We get rid of parentheses
5(4^(x-1))-1/3^2x=0
We multiply all the terms by the denominator
(5(4^(x-1)))*3^2x-1=0
We move all terms containing x to the left, all other terms to the right
(5(4^(x-1)))*3^2x=1

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