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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 \(c\).

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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 \[\log_m{y} = \log_m{\frac{\frac{a}{b}}{c}} = \log_m{\frac{a}{bc}}\Rightarrow y = \frac{a}{bc}\]

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Ohh we are the same of taught thanks?

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

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TopNewestI 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 \[\log_m{y} = \log_m{\frac{\frac{a}{b}}{c}} = \log_m{\frac{a}{bc}}\Rightarrow y = \frac{a}{bc}\]

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Ohh we are the same of taught thanks?

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