Evaluate ${{\log }_{x}}32\times {{\log }_{8}}x$ Without using a calculator, evaluate \({{\log }_{4

Question

Evaluate ${{\log }_{x}}32\times {{\log }_{8}}x$ Without using a calculator, evaluate ${{\log }_{4}}81\times {{\log }_{9}}16$. Evaluate $\frac{{{({{\log }_{16}}8)}^{2}}\times {{\log }_{8}}32}{{{\log }_{\frac{1}{2}}}4}$ without the use of a calculator.

Accepted Answer

$\dfrac{5}{3}$; $4$; $-\dfrac{15}{32}$

Basics of Change of Base Law

Basics of Change of Base Law

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