SOLUTION: the question asks to solve for x: {{{9*5^x=17*2^x}}}

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Question 651423: the question asks to solve for x:
9%2A5%5Ex=17%2A2%5Ex
Found 2 solutions by nerdybill, josmiceli:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
9%2A5%5Ex=17%2A2%5Ex
start, by taking the log of both sides:
log%289%2A5%5Ex%29=+log%2817%2A2%5Ex%29
log%289%29%2Blog%285%5Ex%29=+log%2817%29%2Blog%282%5Ex%29
log%289%29%2Bx%2Alog%285%29=+log%2817%29%2Bx%2Alog%282%29
x%2Alog%285%29=+log%2817%29%2Bx%2Alog%282%29-log%289%29
x%2Alog%285%29-x%2Alog%282%29=+log%2817%29-log%289%29
x%2Alog%285%29-x%2Alog%282%29=+log%2817%2F9%29
x%28log%285%29-log%282%29%29=+log%2817%2F9%29
x%28log%285%2F2%29%29=+log%2817%2F9%29
x+=+log%2817%2F9%29%2Flog%285%2F2%29
x+=+log%2817%2F9%29%2Flog%282.5%29
x+=+.694

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
9%2A5%5Ex=17%2A2%5Ex
+5%5Ex+%2F+2%5Ex+=+17%2F9+
+%285%2F2%29%5Ex+=+17%2F9+
Take the log of both sides
+x%2A+log%285%2F2%29+=+log%2817%2F9%29+
+x+=+log%2817%2F9%29+%2F+log%285%2F2%29+