JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Compute the following

(i)

\sqrt[3]{5^{\frac{1}{\log _7 5}}+\frac{1}{\left(-\log _{10} 0.1\right)}}

(ii)

\log _{0.75} \log _2 \sqrt{\sqrt{\frac{1}{0.125}}}

(iii)

\left(\frac{1}{49}\right)^{1+\log _7 2}+5^{-\log _{1 / 5} 7}

(iv)

7^{\log _3 5}+3^{\log _5 7}-5^{\log _3 7}-7^{\log _5 3}

View answer and explanation

Correct option: A

(i) 2, (ii) 1, (iii)

7+\frac{1}{196}

, (iv) 0

Option A ((i) 2, (ii) 1, (iii)

7+\frac{1}{196}

, (iv) 0) is correct because it accurately computes the logarithmic and exponential expressions.

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