{log g}{log g}√ {7(√ {7√ 7 } )} =

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Basic of Logarithms

easy

${\log _7}{\log _7}\sqrt {7(\sqrt {7\sqrt 7 } )} = $

A

$3{\log _2}7$

B

$1 - 3{\log _3}7$

C

$1 - 3{\log _7}2$

D

None of these

Solution

(c) ${\log _7}{\log _7}\sqrt {7\sqrt {7\sqrt 7 } } = {\log _7}{\log _7}{7^{7/8}} = {\log _7}(7/8)$

$ = {\log _7}7 – {\log _7}8 = 1 – {\log _7}{2^3} = 1 – 3{\log _7}2$.

Standard 11

Mathematics

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