Question

$log_{9}( \sqrt{3 \sqrt{3 \sqrt{3} } } )$ full solution please

Answer 1

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Answer : ( 7 / 16 )

Concepts Used :
$log_{x}( {x}^{y} ) = y \\ \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \\ \sqrt{x} = {x}^{ \frac{1}{2} }$

Solution :$\sqrt{3 \sqrt{3 \sqrt{3} } } = {3}^{ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} } = {3}^{ \frac{7}{8} } = {9}^{ \frac{7}{16} }$
$log_{9}( \sqrt{3 \sqrt{ 3\sqrt{3} } } ) = log_{9}( {9}^{ \frac{7}{16} } ) = \frac{7}{16}$
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Hope this would help

Answer 2

Answer:

Step-by-step explanation:

We if m and n Are co primes then hcf of m square and n square