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Question

Use the Laws of Logarithms to expand the expression.
$\log _3(x \sqrt{y})$

Solution

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Answered 1 year ago

Answered 1 year ago

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Let's expand the following expression

\log_3 \left(x\sqrt{y}\right)

We will expand it by using the following logarithmic laws

\begin{aligned} \log_c ab&=\log_c a+\log_c b\\ \log_c\frac{a}{b}&=\log_c a-\log_c b\\ \log_ab^c&=c\log_ab\\ \log_aa&=1 \end{aligned}

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