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If log₁₀ 2 = 0.3010, then log₂ 10 is equal to:

1⁶⁹⁹/₃₀₁
2¹⁰⁰⁰/₃₀₁
30.3010
40.6990

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \log_{2} 10 \\ = \frac{1}{\log_{10} 2} \\ = \frac{1}{0.3010} \\ = \frac{10000}{3010} \\ = \frac{1000}{301} \end{aligned}

$\eqalign{ & {\log _2}10 \cr & = \frac{1}{{{{\log }_{10}}2}} \cr & = \frac{1}{{0.3010}} \cr & = \frac{{10000}}{{3010}} \cr & = \frac{{1000}}{{301}} \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \log_{2} 10 \\ = \frac{1}{\log_{10} 2} \\ = \frac{1}{0.3010} \\ = \frac{10000}{3010} \\ = \frac{1000}{301} \end{aligned}

$\eqalign{ & {\log _2}10 \cr & = \frac{1}{{{{\log }_{10}}2}} \cr & = \frac{1}{{0.3010}} \cr & = \frac{{10000}}{{3010}} \cr & = \frac{{1000}}{{301}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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