Math, asked by shawmanju9007, 1 year ago

log 4 +1/3 log 125 -1/5 log 32

Answers

Answered by Swarup1998
40
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Given :

log4 +  \frac{1}{3} log125 -  \frac{1}{5} log32 \\  \\  = log4 + log { ({5}^{3} )}^{ (\frac{1}{3}) }  - log { ({2}^{5} )}^{( \frac{1}{5}) }  \\  \\  = log4 + log5 - log2 \\  \\  = log(4 \times 5) - log2 \\  \\  = log20 - log2 \\ \\  = log   \frac{20}{2}  \\  \\  = log10 \\  \\  = 1

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