Express the following in a form free from logarithm:2 x + 3 y = a - Vidyadip

Question

Express the following in a form free from logarithm$:2 \log x + 3 \log y = \log a$

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Answer

$2 \log x + 3 \log y = \log a$
$\Rightarrow \log x^2 + \log y^3 = \log a$
$\Rightarrow \log (x^2. y^2) = \log a$
$\Rightarrow x^2y^3 = a.$

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