SOLUTION: log base1/3(x+1)-log base9(x)=-1 . Solve for x by using change of base and check.

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Question 923728: log base1/3(x+1)-log base9(x)=-1 . Solve for x by using change of base and check.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log+%281%2F3%2C%28x%2B1%29%29-log%289%2Cx%29=-1
-%28log%28x%2B1%29%29%2F%28log%283%29%29-%28log%28x%29%29%2F%28log%289%29%29+=+-1
-%28log%28x%2B1%29%29%2F%28log%283%29%29-%28log%28x%29%29%2F%28log%283%5E2%29%29+=+-1
-%28log%28x%2B1%29%29%2F%28log%283%29%29-%28log%28x%29%29%2F%282log%283%29%29+=+-1
%28-2%28log%28x%2B1%29%29-%28log%28x%29%29%29%2F%282log%283%29%29+=+-1
-2%28log%28x%2B1%29%29-%28log%28x%29%29+=+-1%282log%283%29%29
log%28%28x%2B1%29%5E2%29%2B%28log%28x%29%29+=+log%289%29
log%28%28x%2B1%29%5E2%28x%29%29+=+log%289%29

%28x%2B1%29%5E2%2Ax=+9

%28x%5E2%2B2x%2B1%29%2Ax=+9

x%5E3%2B2x%5E2%2Bx-9=0+
roots: =>x%5B1%5D=1.4724, x%5B2%5D=-1.73618+%2B+1.76019i and x%5B3%5D=-1.73618+-1.76019i
Roots were found using cubic formulas.