જો a = {log _{24}}12,,b = {log _{36}}24 અને c | vedclass

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Question

(c) $a = {\log _{24}}12 = {{\log 12} \over {\log 24}} = {{2\log 2 + \log 3} \over {3\log 2 + \log 3}}$

$b = {\log _{36}}24 = {{3\log 2 + \log 3} \o

Vedclass · Accepted Answer

$2bc$

Vedclass · Answer

(c) $a = {\log _{24}}12 = {{\log 12} \over {\log 24}} = {{2\log 2 + \log 3} \over {3\log 2 + \log 3}}$

$b = {\log _{36}}24 = {{3\log 2 + \log 3} \over {2(\log 2 + \log 3)}}$

$c = {\log _{48}}36 = {{2(\log 2 + \log 3)} \over {4\log 2 + \log 3}}$

$	herefore abc = {{2\,\,\log 2 + \log 3} \over {4\log 2 + \log 3}}$

==> $1 + abc = {{6\log 2 + 2\log 3} \over {4\log 2 + \log 3}} = 2.{{3\log 2 + \log 3} \over {4\log 2 + \log 3}} = 2bc$.

જો $a = {\log _{24}}12,\,b = {\log _{36}}24$ અને $c = {\log _{48}}36$ તો $1+abc = . . . .$

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