Solution set of equation left| {1 - {{log }_{frac{1}{6}}}x} right| + left| {{{log }₂}x} right| + 2

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Solution set of equation

$\left| {1 - {{\log }_{\frac{1}{6}}}x} \right| + \left| {{{\log }_2}x} \right| + 2 = \left| {3 - {{\log }_{\frac{1}{6}}}x + {{\log }_{\frac{1}{2}}}x} \right|$ is $\left[ {\frac{a}{b},a} \right],a,b, \in N,$ then the value of $(a + b)$ is

A

$5$

B

$6$

C

$7$

D

$8$

Solution

$|a+b+c|=|a|+|b|+|c|$

when $a, b, c$ has same sign.

Standard 11

Mathematics

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