Determine the value of log32√(118) is = ?Determine the value of log32(118) is = ?\eqalign{ & {\text{Determine the value of }} \cr & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\,{\text{ is = ?}} \cr} " /> Determine the value of log32√(118) is = ?Determine the value of log32(118) is = ?\eqalign{ & {\text{Determine the value of }} \cr & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\,{\text{ is = ?}} \cr} " /> Determine the value of log32√(118) is = ?Determine the value of log32(118) is = ?\eqalign{ & {\text{Determine the value of }} \cr & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\,{\text{ is = ?}} \cr} " />

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$\begin{aligned} Determine the value of \\ lo g_{3 \sqrt{2}} (\frac{1}{18}) is = ? \end{aligned}$ $\eqalign{ & {\text{Determine the value of }} \cr & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\,{\text{ is = ?}} \cr}$

12
2-2
3√2
4√3

Answer:- 1

Explanation:-

Solution:

\begin{aligned} lo g_{3 \sqrt{2}} (\frac{1}{18}) \\ = lo g_{3 \sqrt{2}} (\frac{1}{{(3 \sqrt{2})}^{2}}) \\ = lo g_{3 \sqrt{2}} {(3 \sqrt{2})}^{- 2} \\ = (- 2) lo g_{3 \sqrt{2}} 3 \sqrt{2} \\ = - 2 \end{aligned}

$\eqalign{ & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\, \cr & = {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{{{\left( {3\sqrt 2 } \right)}^2}}}} \right)\, \cr & = {\text{lo}}{{\text{g}}_{3\sqrt 2 }}{\text{ }}{\left( {3\sqrt 2 } \right)^{ - 2}} \cr & = \left( { - 2} \right){\text{lo}}{{\text{g}}_{3\sqrt 2 }}3\sqrt 2 \cr & = - 2 \cr}$

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", "text": "

\begin{aligned} Determine the value of \\ lo g_{3 \sqrt{2}} (\frac{1}{18}) is = ? \end{aligned}

$\eqalign{ & {\text{Determine the value of }} \cr & {\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)\,{\text{ is = ?}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution: