MAH CET MCA Logarithms And Indices Previous Year Questions (PYQs)
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Showing 3 questions
If $\log_3 2 = x$ and $\log_3 5 = y$, find $\log_3 1620$.
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Solution
$1620 = 2^2 \times 3^4 \times 5$.
$\Rightarrow \log_3 1620 = 2\log_3 2 + 4\log_3 3 + \log_3 5 = 2x + y + 4$.
If $\log_5 2 = x$, then find $\log_5 800$.
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Solution
$800 = 2^5 \times 5^2 \Rightarrow \log_5 800 = 5\log_5 2 + 2 = 5x + 2$.
Since $5x + 2 = 2.5x + 1$ (approx form).
Find the real number in the expansion of $4$ to the power $2.5$.
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Solution
$4^{2.5} = 4^2 \times 4^{0.5} = 16 \times 2 = 32$.
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