SOLUTION: simplify log5^004 / log3^18 - log3^2 OR simplify log0.04 in base 5 / log18 in base 3 - log2 in base 3

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Question 1062568: simplify log5^004 / log3^18 - log3^2
OR
simplify log0.04 in base 5 / log18 in base 3 - log2 in base 3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
simplify log0.04 in base 5 / log18 in base 3 - log2 in base 3
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simplify log%285%2C0.04%29%2F%28log%283%2C18%29+-+log%283%2C2%29%29
= log%285%2C0.04%29%2F%28log%283%2C18%2F2%29%29%29
= log%285%2C0.04%29%2F%28log%283%2C9%29%29%29
= log%285%2C0.04%29%2F2
= log%285%2Csqrt%280.04%29%29%7D%7D%0D%0A=++%7B%7B%7Blog%285%2C0.2%29
= log%285%2C%281%2F5%29%29
= log%285%2C5%5E%28-1%29%29
= -1