2^x/3^x=16/81

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Solution for 2^x/3^x=16/81 equation:



2^x/3^x=16/81
We move all terms to the left:
2^x/3^x-(16/81)=0
Domain of the equation: 3^x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
2^x/3^x-(+16/81)=0
We get rid of parentheses
2^x/3^x-16/81=0
We calculate fractions
162x/243x+(-48x)/243x=0
We multiply all the terms by the denominator
162x+(-48x)=0
We get rid of parentheses
162x-48x=0
We add all the numbers together, and all the variables
114x=0
x=0/114
x=0
Równanie nie ma rozwiązania

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