(2/3)^(3x-2)=243/32

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Solution for (2/3)^(3x-2)=243/32 equation: 



(2/3)^(3x-2)=243/32

We move all terms to the left:

(2/3)^(3x-2)-(243/32)=0



Domain of the equation: 3)^(3x-2)!=0

x∈R



We add all the numbers together, and all the variables

(+2/3)^(3x-2)-(+243/32)=0

We get rid of parentheses

(+2/3)^(3x-2)-243/32=0

We calculate fractions


()/3^3x+(-729x)/3^3x=0

We multiply all the terms by the denominator


(-729x)+()=0

We add all the numbers together, and all the variables

(-729x)=0

We get rid of parentheses

-729x=0

x=0/-729

x=0

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