SOLUTION: Please help me solve Log10 75/16-2log10 (5/9)+log10 160/243

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Question 1210405: Please help me solve Log10 75/16-2log10 (5/9)+log10 160/243
Found 2 solutions by josgarithmetic, timofer:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
log%2810%2C%2875%2F12%29%29-2log%2810%2C%285%2F9%29%29%2Blog%2810%2C%28160%2F243%29%29
You may be able to simplify this very much first.
A software program either offline or online could give the value.

Answer by timofer(105) About Me  (Show Source):
You can put this solution on YOUR website!
Those are all to base ten.

Use the idea log%28%28a%29%29%2Blog%28%28b%29%29=log%28%28ab%29%29.

log%28%2875%2F16%29%29%2B2log%28%289%2F5%29%29%2Blog%28%28160%2F243%29%29

log%28%28%2875%2F16%29%289%2F5%29%5E2%28160%2F243%29%29%29

That will become upon simplification
log%28%2810%29%29
which for log of base ten is highlight%28log%28%2810%29%29=1%29 .