SOLUTION: Solve log(35-x^3)/log(5-x)=3

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Question 173509: Solve log(35-x^3)/log(5-x)=3
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
log%2835-x%5E3%29%2Flog%285-x%29=3
log%2835-x%5E3%29=3%2A+log%285-x%29
log%2835-x%5E3%29=log%285-x%29%5E3
35-x%5E3+=+%285-x%29%5E3
35+-+x%5E3+=+%285-x%29%2825+-+10x+%2B+x%5E2%29
35+-+x%5E3+=+125+-+50x+%2B+5x%5E2+-+25x+%2B+10x%5E2+-+x%5E3
0+=+15x%5E2+-+75x+%2B+90
0+=+x%5E2+-+5x+%2B+6
0+=+%28x-2%29%28x-3%29
x = 2 or x=3
Test your answers
does log(35-27)/log(2) = 3? or does log(35-8)/log(3) = 3?