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Logarithm problem

Given that \( \log_{m}(y) = \log_{m}(a) - \log_{m}(b) - \log_{m}(c)\), find the value of \(y\) in terms of \(a, b\) and/or \(c\).

Note by Cedie Camomot
1 year, 8 months ago

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I assume that you want to write \(y\) in terms of \(a, b, c\). Since \(\log_m{\frac{p}{q}} = \log_m{p}-\log_m{q}\), you will get that \[\log_m{y} = \log_m{\frac{\frac{a}{b}}{c}} = \log_m{\frac{a}{bc}}\Rightarrow y = \frac{a}{bc}\]

Kay Xspre - 1 year, 8 months ago

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Ohh we are the same of taught thanks?

Cedie Camomot - 1 year, 8 months ago

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