The value of 6 log1010003 log10100is equal to - The value of 6 log1010003 log10100is equal to - \eqalign{ & {\text{The value of }} \cr & \,\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}\,\,{\text{is equal to - }} \cr} " /> The value of 6 log1010003 log10100is equal to - The value of 6 log1010003 log10100is equal to - \eqalign{ & {\text{The value of }} \cr & \,\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}\,\,{\text{is equal to - }} \cr} " /> The value of 6 log1010003 log10100is equal to - The value of 6 log1010003 log10100is equal to - \eqalign{ & {\text{The value of }} \cr & \,\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}\,\,{\text{is equal to - }} \cr} " />

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$\begin{aligned} The value of \\ \frac{6 \log_{10} 1000}{3 \log_{10} 100} is equal to - \end{aligned}$ $\eqalign{ & {\text{The value of }} \cr & \,\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}\,\,{\text{is equal to - }} \cr}$

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{6 \log_{10} 1000}{3 \log_{10}} \\ = \frac{6 \log_{10} 10^{3}}{3 \log_{10} 10^{2}} \\ = \frac{6 \times 3 \log_{10} 10}{3 \times 2 \log_{10} 10} \\ = \frac{18}{6} \\ = 3. \end{aligned}

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", "text": "

\begin{aligned} The value of \\ \frac{6 \log_{10} 1000}{3 \log_{10} 100} is equal to  - \end{aligned}

$\eqalign{ & {\text{The value of }} \cr & \,\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}\,\,{\text{is equal to - }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{6 \log_{10} 1000}{3 \log_{10}} \\ = \frac{6 \log_{10} 10^{3}}{3 \log_{10} 10^{2}} \\ = \frac{6 \times 3 \log_{10} 10}{3 \times 2 \log_{10} 10} \\ = \frac{18}{6} \\ = 3. \end{aligned}

$\eqalign{ & \frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}}} \cr & = \frac{{6{\text{ }}{{\log }_{10}}{{10}^3}}}{{3{\text{ }}{{\log }_{10}}{{10}^2}}} \cr & = \frac{{6 \times 3{\text{ }}{{\log }_{10}}10}}{{3 \times 2{\text{ }}{{\log }_{10}}10}} \cr & = \frac{{18}}{6} \cr & = 3. \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: