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 $c$ .

#Algebra

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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 - 5 years, 3 months ago

Ohh we are the same of taught thanks?

A Former Brilliant Member - 5 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$