Question 308159
Use properties of exponents to solve: 
3^(x-2)81^(x)=(1/3)^(x-3) 
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81 = 3^4
1/3 = 3^-1
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{{{3^(x-2)81^(x)=(1/3)^(x-3)}}}
{{{3^(x-2)3^(4x)= 3^(3-x)}}}
{{{3^(5x-2) = 3^(3-x)}}}
5x-2 = 3-x
6x = 5
x = 5/6