JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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{5^{3{x^2}{{\log }_{10}}2}} = {2^{\left( {x + \frac{1}{2}} \right){{\log }_{10}}25}},

then

x

equals to

View answer and explanation

Correct option: A

1,\; - \frac{1}{3}

Option A (

1, -\frac{1}{3}

) is correct because these are the solutions obtained by equating the exponents after taking logarithms and solving the resulting quadratic equation.

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

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y

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y=x-2

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

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}