SOLUTION: log6^(x+5)=log3^(x-4) solve for x.

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Question 196130: log6^(x+5)=log3^(x-4)
solve for x.

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
log6^(x+5) = log 3 ^ (x-4)
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(x+5) log6 = (x-4) log 3,,, from property of logs logx^3 = 3 logx
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(x+5) * log6/log3 = (x-4)
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(x+5) * 1.631 = (x-4)
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1.631 x + 8.155 = x -4
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.631 x = -12.155
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x= (-19.263),,,,,answer
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checking
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log 6 ^ (-19.263 +5) = log 3 ^ (-19.263 -4)
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log 6 ^ (-14.263) = log 3^ (-23.263)
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-11.1 = -11.1 ,,,,,ok