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Simplify $\log_5 125 + \dfrac{\log 32-\log 8}{\log 8}$ to a single number, without use of a calculator
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log 5^3 + (log(32/8))/log8

= 3 log5 + (log 2^2) - log (2^2 x 2)

= 3(1) +  2log2 - 2log2 + log2

= 3 + log2
by Diamond (39,701 points)

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