SOLUTION: How do you solve this equation? 1/2((log7(x)+log7(8))=log7(16)

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Question 313173: How do you solve this equation? 1/2((log7(x)+log7(8))=log7(16)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you mean log base 7:
%281%2F2%29%28log%287%2Cx%29%2Blog%287%2C8%29%29=log%287%2C16%29
log%287%2Cx%29%2Blog%287%2C8%29=2log%287%2C16%29
log%287%2Cx%29%2Blog%287%2C8%29=log%287%2C16%5E2%29
log%287%2C8x%29=log%287%2C16%5E2%29
8x=16%5E2
x=16%5E2%2F8
x=32