If ${2^{{{\log }_{10}}3\sqrt 3 }} = {3^{k\log _{10}^2\;}},$ then $k = $

JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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{2^{{{\log }_{10}}3\sqrt 3 }} = {3^{k\log _{10}^2\;}},

then

k =

View answer and explanation

Correct option: B

\frac{3}{2}

Option B (

\frac{3}{2}

) is correct because, by taking logarithms and simplifying, the value of k is found to be

\frac{3}{2}

Practice All Chapter MCQs →

A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

{x^2},{b^2},{y^2}

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y=x-2

\sum\limits_{{i=0}}^{2012} a_i

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A P

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G P

a, b, c

\frac{3}{4}