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Property 7

log 6+2 log 5...

Question

Log6+ 2log5+log4-log3-log2=2

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Solution

log m×n= log m + log n

=>log 6 + 2 log 5+ log 4 - log 3 - log 2 =
log 2×3 + 2log 5 + log 2×2 - log 3 -log 2
=> log 2 + log 3 +2 log 5 +log 2+ log 2 - log 3 - log 2
=> 2log 2 +2 log 5 = 2( log 2 + log 5)
=> 2log 2×5 = 2log 10 = 2

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