SOLUTION: Solve the equation algebraically, showing work, round to two decimal places if needed. (4/3)^(1-x)=5^x Someone please help.

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Question 381519: Solve the equation algebraically, showing work, round to two decimal places if needed.
(4/3)^(1-x)=5^x
Someone please help.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2F3%2C%28%284%2F3%29%5E%281-x%29%29%29=log%284%2F3%2C5%5Ex%29
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1-x=log%284%2F3%2C5%5Ex%29
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1-x=x%2Alog%284%2F3%2C5%29
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x%2Alog%284%2F3%2C5%29%2Bx=1
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x%2A%28log%284%2F3%2C5%29%2B1%29=1
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x=1%2F%28log%284%2F3%2C5%29%2B1%29
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x=1%2F%28log%2810%2C%285%29%29%2Flog%2810%2C%284%2F3%29%29%2B1%29
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or approximately,
x=0.15