(4/9)^(x-2)=8/27

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Solution for (4/9)^(x-2)=8/27 equation:



(4/9)^(x-2)=8/27
We move all terms to the left:
(4/9)^(x-2)-(8/27)=0
Domain of the equation: 9)^(x-2)!=0
x∈R
We add all the numbers together, and all the variables
(+4/9)^(x-2)-(+8/27)=0
We get rid of parentheses
(+4/9)^(x-2)-8/27=0
We calculate fractions
()/9^x+(-72x)/9^x=0
We multiply all the terms by the denominator
(-72x)+()=0
We add all the numbers together, and all the variables
(-72x)=0
We get rid of parentheses
-72x=0
x=0/-72
x=0

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