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Logarithmic Equations

Suppose I had a logarithm and another logarithm to the same base.

In the equation, one logarithm was subtracted from the other.

I know the way to deal with this is to use the logarithm law of subtraction and write this as a single logarithm, which I can then convert to exponential form.

What I would like to understand is why we can't convert to exponential form immediately without writing the two logarithms as a single logarithm of a fraction, and solve from there.

Could someone explain?

Thanks :smile:
(edited 5 years ago)
alogab - logac ab - c

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