MAH CET MCA Logarithms and Indices Previous Year Question Paper and Solution with PDF

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Qus : 1 MAH CET MCA PYQ

If $\log_3 2 = x$ and $\log_3 5 = y$, find $\log_3 1620$.

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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

$1620 = 2^2 \times 3^4 \times 5$. $\Rightarrow \log_3 1620 = 2\log_3 2 + 4\log_3 3 + \log_3 5 = 2x + y + 4$.

Qus : 2 MAH CET MCA PYQ

If $\log_5 2 = x$, then find $\log_5 800$.

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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

$800 = 2^5 \times 5^2 \Rightarrow \log_5 800 = 5\log_5 2 + 2 = 5x + 2$. Since $5x + 2 = 2.5x + 1$ (approx form).

Qus : 3 MAH CET MCA PYQ

Find the real number in the expansion of $4$ to the power $2.5$.

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MAH CET MCA Previous Year PYQ MAH CET MCA MAH MCA CET 2023 PYQ

$4^{2.5} = 4^2 \times 4^{0.5} = 16 \times 2 = 32$.

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