Log 4 x2-x log 27 8-log x 243 is equal to

The correct option is D 5x(log_4x^2)^×(xlog_278)^×(log_x243) (2log4x)*(xlog278)*(5logx3) 2^× x ^×5^×log xlog 4×log 8log 27×log 3log x nbsp; 2^× x ^×5^×log x ...

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Byju's Answer

Standard IX

Mathematics

Property 5

log 4 x2×x lo...

Question

$(l o g_{4} x^{2})^{\times} (x l o g_{27} 8)^{\times} (l o g_{x} 243)$ is equal to

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Solution

The correct option is D
5x
$(l o g_{4} x^{2})^{\times} (x l o g_{27} 8)^{\times} (l o g_{x} 243)$
(2log₄x)(xlog₂₇8)(5log_x3)
$2^{\times} x^{\times} 5^{\times} \frac{l o g x}{l o g 4} \times \frac{l o g 8}{l o g 27} \times \frac{l o g 3}{l o g x}$
$2^{\times} x^{\times} 5^{\times} \frac{l o g x}{2 l o g 2} \times \frac{3 l o g 2}{3 l o g 3} \times \frac{l o g 3}{l o g x}$
10x $\times \frac{1}{2}$
=5x

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(log4x2)×(xlog278)×(logx243) is equal to

The correct option is D 5x(log4x2)×(xlog278)×(logx243) (2log4x)*(xlog278)*(5logx3) 2× x ×5×log xlog 4×log 8log 27×log 3log x 2× x ×5×log x2log 2×3log 23log 3×log 3log x 10x×12 =5x

$(l o g_{4} x^{2})^{\times} (x l o g_{27} 8)^{\times} (l o g_{x} 243)$ is equal to