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What is A×B×C pls display the answer with solution ​

Answer»

\blue{\bold{\underline{\underline{Answer:}}}}

\green{\tt{\therefore{ABC=log_{6}(4)}}}

\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}

\green{\underline \bold{<klux>GIVEN</klux>:}} \\  \tt:  \implies A=  log_{32}(1024) \\  \\  \tt:  \implies B=  log_{81}( \sqrt{3} ) \\  \\ \tt:  \implies C =  log_{6}(256) \\  \\ \red{\underline \bold{to \: find:}} \\  \tt:  \implies ABC = ?

ACCORDING to given QUESTION :

\tt:  \implies A =  log_{32}(1024)  \\  \\  \tt:  \implies A= log_{32} ({32})^{2}  \\  \\ \tt:  \implies A= 2 \:  log_{32}(32)  \\  \\  \green{\tt:  \implies A= 2} \\  \\  \bold{For \: B : } \\ \tt:  \implies B = log_{81}( \sqrt{3} )  \\  \\ \tt:  \implies B = log_{( \sqrt{3})^{8}  }( \sqrt{3} )  \\  \\ \tt:  \implies B= \frac{1}{8}  log_{ \sqrt{3} }( \sqrt{3} )  \\  \\  \green{\tt:  \implies B =  \frac{1}{8}}  \\  \\  \bold{For \: C: } \\ \tt:  \implies C = log_{6}(256)  \\  \\ \tt:  \implies C = log_{(2 \times 3)}( {2}^{8} )  \\  \\ \tt:  \implies C = 8  \: log_{2 \times 3}(2)  \\  \\  \green{\tt:  \implies C=8 \:  log_{6}(2) } \\  \\  \bold{For \: finding \: value} \\ \tt:  \implies ABC = 2 \times  \frac{1}{8}  \times 8 \:  log_{6}(2)  \\  \\ \tt:  \implies ABC=2 \:  log_{6}(2)  \\  \\  \green{\tt:  \implies ABC = log_{6}(4) }



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