SOLUTION: solve for x. 17^5x = 5 * 6^x

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Question 351689: solve for x.
17^5x = 5 * 6^x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
17%5E%285x%29+=+5%2A6%5Ex
log%2817%2C%285x%29%29=log%2817%2C%285%2A6%5Ex%29%29
5x=log%2817%2C%285%29%29%2Blog%2817%2C%286%5Ex%29%29%29
5x=log%2817%2C%285%29%29%2Bx%2Alog%2817%2C%286%29%29%29
5x-x%2Alog%2817%2C%286%29%29=log%2817%2C%285%29%29
x%285-log%2817%2C%286%29%29%29=log%2817%2C%285%29%29
highlight%28x=log%2817%2C%285%29%29%2F%285-log%2817%2C%286%29%29%29%29
or approximately,
x=0.13