Aspire Faculty ID #15402 · Topic: MAH MCA CET 2023 · Just now
MAH MCA CET 2023

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

Solution

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

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