Asked by CC

9^x=1/3^3 Please Help
Answered by Steve
set everything as powers of 3:

(3^2)^x = 3^(-3)
3^2x = 3^(-3)
since powers equal (or, take log base 3 of both sides),

2x = -3
x = -3/2

check:

9^(-3/2) = 1/9^(3/2) = 1/3^3
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