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Logarithms Formula Sheet

Logarithms Formula Sheet

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in this lesson instead of expanding a single log into multiple logarithms we're going to condense multiple logs into a single log so this is the opposite of the last lesson so hopefully you've watched the last lesson before this one so we're going to write this as a single log now the ones that contain a positive sign will go on top so that's a and c so it's going to be a times c on top now b has a negative in front of it so it's going to go on the bottom so it's going to be log ac over b let's try another example 2 log a plus 5 log b minus 7 log c so how can we express this expression as a single log the first thing we need to do is move the coefficient to the exponent position so this is going to be log a squared plus log b to the fifth minus log c to the seventh now we can write a single log a and b both have a positive sign in front so they're going to be on top a squared b to the fifth c has a negative sign in

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