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Find the value of 7 log(16/15) + 5 log...

Find the value of 7 ` log(16/15) + 5 log (25/24) + 3 log (81/80)`.

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`7 log(16/15)+5 log(25/24)+3 log (81/80)`
` =log [(16/15)^(7)(25/24)^(5)(81/80)^(3)]`
` = log.2^(28)/(3^(7)5^(7))5^(10)/(2^(15)3^(5))3^(12)/(2^(12)5^(3))`
` = log 2`
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Knowledge Check

  • Find the value of x : 49^(log7)^11 = log_2^(2)^2 = 25 + log_10 x

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    B
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    C
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  • log_(1/3)81 =

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    B
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    C
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