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How do you combine logs?

0:39 3:01 Suggested clip Precalculus — How to condense logarithms using the laws of YouTubeStart of suggested client of suggested clip Precalculus — How to condense logarithms using the laws of

How do you combine logs with the same base?

Logs of the same base can be added together by multiplying their arguments: log(XY) = log(x) + log(y). They can be subtracted by dividing the arguments: log(x/y) = log(x) — log(y).

What does it mean to condense a logarithmic expression?

When they tell you to “simplify” a log expression, this usually means they will have given you lots of log terms, each containing a simple argument, and they want you to combine everything into one log with a complicated argument. “Simplifying” in this context usually means the opposite of “expanding”.

How do you condense the expression to the logarithm of a single quantity?

0:14 2:02 Suggested clip Condensing a logarithmic expression into one single quantity using YouTubeStart of suggested client of suggested clip Condensing a logarithmic expression into one single quantity using

How do you condense logs with the same base?

1:11 3:01 Suggested clip Precalculus — How to condense logarithms using the laws of YouTubeStart of suggested client of suggested clip Precalculus — How to condense logarithms using the laws of

How do you condense logs with different bases?

17:05 32:43 Suggested clip Solving Logarithmic Equations With Different Bases — Algebra 2 YouTubeStart of suggested client of suggested clip Solving Logarithmic Equations With Different Bases — Algebra 2

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