SOLUTION: Solve for x: Log3(1/9)^x=(x+2)

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Question 828576: Solve for x:
Log3(1/9)^x=(x+2)
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
log3%281%2F9%29%5Ex=%28x%2B2%29
xlog3%281%2F9%29=%28x%2B2%29
xlog3%281%2F%283%5E2%29%29=%28x%2B2%29
xlog3%283%5E%28-2%29%29=%28x%2B2%29
x%28-2log3%283%29%29=%28x%2B2%29
since log3(3) = 1
x%28-2%281%29%29=%28x%2B2%29
-2x=x%2B2
add -x to each side
-3x=2
divide each side by -3
x+=+-2%2F3