_7 _7 7(7 7 ) = - Vidyadip

MCQ

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

A
$3{\log _2}7$
B
$1 - 3{\log _3}7$
✓
$1 - 3{\log _7}2$
D
None of these

✓

Answer

Correct option: C.

$1 - 3{\log _7}2$

c
(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$.

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