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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
9 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 $\log_m{y} = \log_m{\frac{\frac{a}{b}}{c}} = \log_m{\frac{a}{bc}}\Rightarrow y = \frac{a}{bc}$ · 9 months ago