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Question

If log35=x and log2511=y then the value of log3(113) in terms of x and y is

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Solution

Given, log35=x
log5log3=x (equation 1)
And, log2511=y
log112log5=y (equation 2)
From 1 and 2
log(11)2xlog3=y
log3(11)=(2xy)
log3(11/3)=log3(11)1=2xy1

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