The value oflog3 2log4 3log5 4- log1514log16 15 is

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Standard XII

Mathematics

Fundamental Laws of Logarithms

The value ofl...

Question

The value of
$l o g_{3} 2 l o g_{4} 3 l o g_{5} 4 \dots l o g_{15} 14 l o g_{16} 15$ is

\frac{1}{2}

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\frac{1}{3}

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\frac{1}{4}

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Solution

The correct option is C $\frac{1}{4}$
$l o g_{16} 2 = \frac{1}{4} l o g_{2} . 2 = \frac{1}{4}$

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The value of log3 2log4 3log5 4…log1514log16 15 is

The correct option is C 14log16 2=14log2. 2=14

The value of
$l o g_{3} 2 l o g_{4} 3 l o g_{5} 4 \dots l o g_{15} 14 l o g_{16} 15$ is

The correct option is C $\frac{1}{4}$
$l o g_{16} 2 = \frac{1}{4} l o g_{2} . 2 = \frac{1}{4}$