Math, asked by CUTEsrishti, 11 hours ago

please find value of
log \sqrt{32}

Answers

Answered by AestheticSky
38

Properties to be used:

\\\footnotesize\quad\bullet\quad \rm \log \bigg( a\bigg)^{b} = b \times \log a\\

\\\footnotesize\quad\bullet\quad \rm \log \bigg( 2\bigg) = 0.30 \\

Calculation:

\\\footnotesize\quad\longrightarrow\quad \log \sqrt{32} \\

\\\footnotesize\quad\longrightarrow\quad \log \bigg(32\bigg)^{\dfrac{1}{2} }  \\

\\\footnotesize\quad\longrightarrow\quad \dfrac{1}{2} \log  32 \\

\\\footnotesize\quad\longrightarrow\quad \dfrac{1}{2} \log  \bigg(2\bigg)^{5}  \\

\\\footnotesize\quad\longrightarrow\quad \dfrac{5}{2} \log  \bigg(2\bigg)  \\

\\\footnotesize\quad\longrightarrow\quad \dfrac{5}{2} \times 0.30 \\

\\\footnotesize\quad\longrightarrow\quad 5 \times 0.15 \\

\\\footnotesize\quad\longrightarrow\quad \boxed{ 0.75}\bigstar \\

____________________

Answered by rose2920
11

Answer:

Hello

Step-by-step explanation:

Make above as brainlist

Have a nice day ahead

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