Easy log question (1 Viewer)

yeyjasminetime · Oct 7, 2013

Hi guys! Does anyone know how to subject x?

It shouldn't take long (I'm horrible at log)

Thank youuu

HeroicPandas · Oct 7, 2013

Lets put the things with 'x' on one side, and the other letters on the other side

$ae^x = be^{-x} \\ \\ \frac{e^x}{e^{-x}}= \frac{b}{a} \\$Using indices laws, $\frac{a^m}{a^n} = a^{m-n} \\ e^{2x} = \frac{b}{a} \\ \\ 2x = log_e \left ( \frac{b}{a} \right )$

Easy log question (1 Viewer)

yeyjasminetime

Member

HeroicPandas

Heroic!

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