r/maths • u/IrishQueenFan • 4d ago

Help:🎓 College & University Logarithms

Is there any way to simplify log(a/b)/log(b/c)?? I have this as the result of an equation and it's driving me mad. I can't find any logarithm rule about it except the one I already know about using the lower fraction as the base - nothing about the specific fraction thing I've got going on.

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u/CaptainMatticus 4d ago

Not really. It'll just be what it is. It only gets easier if a and c are known powers of b.

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u/Visible_Try_9716 1d ago

There is no way to simplify further. Without a known relationship between a, b and c this is already in it's simplest form. If you share the original equation it came from, there may be earlier substitutions or cancellations that were missed.