The value oflog5(125)(625)25is equal to - The value oflog5(125)(625)25is equal to - \eqalign{ & {\text{The value of}} \cr & {\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & {\text{is equal to - }} \cr} " /> The value oflog5(125)(625)25is equal to - The value oflog5(125)(625)25is equal to - \eqalign{ & {\text{The value of}} \cr & {\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & {\text{is equal to - }} \cr} " /> The value oflog5(125)(625)25is equal to - The value oflog5(125)(625)25is equal to - \eqalign{ & {\text{The value of}} \cr & {\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & {\text{is equal to - }} \cr} " />

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$\begin{aligned} The value of \\ \log_{5} \frac{(125) (625)}{25} \\ is equal to - \end{aligned}$ $\eqalign{ & {\text{The value of}} \cr & {\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & {\text{is equal to - }} \cr}$

1725
25
33125
46

Answer:- 1

Explanation:-

Solution:

\begin{aligned} lo g_{5} \frac{(125) (625)}{25} \\ = lo g_{5} (\frac{5^{3} \times 5^{4}}{5^{2}}) \\ = lo g_{5} 5^{5} \\ = 5lo g_{5} 5 \\ = 5 \end{aligned}

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", "text": "

\begin{aligned} The value of \\ \log_{5} \frac{(125) (625)}{25} \\ is equal to - \end{aligned}

$\eqalign{ & {\text{The value of}} \cr & {\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & {\text{is equal to - }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} lo g_{5} \frac{(125) (625)}{25} \\ = lo g_{5} (\frac{5^{3} \times 5^{4}}{5^{2}}) \\ = lo g_{5} 5^{5} \\ = 5lo g_{5} 5 \\ = 5 \end{aligned}

$\eqalign{ & {\text{lo}}{{\text{g}}_5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}} \cr & = {\text{lo}}{{\text{g}}_5}\left( {\frac{{{5^3} \times {5^4}}}{{{5^2}}}} \right) \cr & = {\text{lo}}{{\text{g}}_5}{5^5} \cr & {\text{ = 5lo}}{{\text{g}}_5}5 \cr & = 5 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: