Iflogx−5log3=−2,then x equals - Iflog⁡x−5log⁡3=−2,then x equals - \eqalign{ & {\text{If}}\,\,\log x - 5\log 3 = - 2, \cr & {\text{then }}x{\text{ equals - }} \cr} " /> Iflogx−5log3=−2,then x equals - Iflog⁡x−5log⁡3=−2,then x equals - \eqalign{ & {\text{If}}\,\,\log x - 5\log 3 = - 2, \cr & {\text{then }}x{\text{ equals - }} \cr} " /> Iflogx−5log3=−2,then x equals - Iflog⁡x−5log⁡3=−2,then x equals - \eqalign{ & {\text{If}}\,\,\log x - 5\log 3 = - 2, \cr & {\text{then }}x{\text{ equals - }} \cr} " />

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$\begin{aligned} If \log x - 5 \log 3 = - 2, \\ then x equals - \end{aligned}$ $\eqalign{ & {\text{If}}\,\,\log x - 5\log 3 = - 2, \cr & {\text{then }}x{\text{ equals - }} \cr}$

10.8
20.81
31.25
42.43

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \log x - 5 \log 3 = - 2 \\ \Rightarrow \log x - \log 3^{5} = - 2 \\ \Rightarrow \log (\frac{x}{3^{5}}) = - 2 \\ \Rightarrow \frac{x}{243} = 10^{- 2} = \frac{1}{100} \\ \Rightarrow x = \frac{243}{100} = 2.43 \end{aligned}

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", "text": "

\begin{aligned} If \log x - 5 \log 3 = - 2, \\ then x equals - \end{aligned}

$\eqalign{ & {\text{If}}\,\,\log x - 5\log 3 = - 2, \cr & {\text{then }}x{\text{ equals - }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \log x - 5 \log 3 = - 2 \\ \Rightarrow \log x - \log 3^{5} = - 2 \\ \Rightarrow \log (\frac{x}{3^{5}}) = - 2 \\ \Rightarrow \frac{x}{243} = 10^{- 2} = \frac{1}{100} \\ \Rightarrow x = \frac{243}{100} = 2.43 \end{aligned}

$\eqalign{ & \log x - 5\log 3 = - 2 \cr & \Rightarrow \log x - \log {3^5} = - 2 \cr & \Rightarrow \log \left( {\frac{x}{{{3^5}}}} \right) = - 2 \cr & \Rightarrow \frac{x}{{243}} = {10^{ - 2}} = \frac{1}{{100}} \cr & \Rightarrow x = \frac{{243}}{{100}} = 2.43 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: