4/3^r-6=1/3^r

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Solution for 4/3^r-6=1/3^r equation:



4/3^r-6=1/3^r
We move all terms to the left:
4/3^r-6-(1/3^r)=0
Domain of the equation: 3^r!=0
r!=0/1
r!=0
r∈R
Domain of the equation: 3^r)!=0
r!=0/1
r!=0
r∈R
We get rid of parentheses
4/3^r-1/3^r-6=0
We multiply all the terms by the denominator
-6*3^r+4-1=0
We add all the numbers together, and all the variables
-6*3^r+3=0
Wy multiply elements
-18r+3=0
We move all terms containing r to the left, all other terms to the right
-18r=-3
r=-3/-18
r=1/6

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