The value of log-8log8 is

Name: JEE- Grade 11- Mathematics- Fundamentals of Mathematics 14- Session 14- W01
Uploaded: 2022-07-04T10:36:42+05:30
Description: Log√(8)log8=log8^1/2log8 =12log8log8 =12 nbsp; ...

Log√(8)log8=log8^1/2log8 =12log8log8 =12 nbsp; ...

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Standard XI

Mathematics

Fundamental Laws of Logarithms

The value of ...

Question

The value of $\frac{log \sqrt{8}}{log 8}$ is

\frac{1}{\sqrt{8}}

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\frac{1}{8}

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\frac{1}{4}

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\frac{1}{2}

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Solution

The correct option is D $\frac{1}{2}$
$\frac{log \sqrt{8}}{log 8} = \frac{log 8^{1 / 2}}{log 8}$
$= \frac{\frac{1}{2} log 8}{log 8}$
$= \frac{1}{2}$

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Fundamental Laws of Logarithms

Standard XI Mathematics

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The value of log√8log8 is

The correct option is D 12 log√8log8=log81/2log8 =12log8log8 =12

The value of $\frac{log \sqrt{8}}{log 8}$ is

The correct option is D $\frac{1}{2}$
$\frac{log \sqrt{8}}{log 8} = \frac{log 8^{1 / 2}}{log 8}$
$= \frac{\frac{1}{2} log 8}{log 8}$
$= \frac{1}{2}$