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When you are asked to expand log expressions, your goal is to express a single logarithmic expression into many individual parts or components. This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one.

100 Write a Logarithmic Expression in Expanded Form (4.4) - YouTube YouTube Start of suggested clip End of suggested clip So first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course I've got aMoreSo first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course I've got a Y Z on the bottom which means both of those will be subtracted. So log base 4 of Y.

Expanding logarithms - Using the properties of logarithms - YouTube YouTube Start of suggested clip End of suggested clip And basically the idea is is that if you see an exponent on top of a log. You can move that exponentMoreAnd basically the idea is is that if you see an exponent on top of a log. You can move that exponent to the front and multiply it with the log and it is exactly equal you have not changed the log.

To expand logarithms, write them as a sum or difference of logarithms where the power rule is applied if necessary. Often, using the rules in the order quotient rule, product rule, and then power rule will be helpful. To simplify logarithms, write them as a single logarithm.

Expanding Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip Let's try one more example go ahead and expand the log let's say if it's the square root of a timesMoreLet's try one more example go ahead and expand the log let's say if it's the square root of a times b to the one fourth. Divided by the cube root of c to the fifth. Raised to the third.

The reverse process of expanding logarithms is called combining or condensing logarithmic expressions into a single quantity. Other textbooks refer to this as simplifying logarithms.

Expanding and Condensing Logs - YouTube YouTube Start of suggested clip End of suggested clip So now when you go from the left to the right. That's expanding when you go from the right to theMoreSo now when you go from the left to the right. That's expanding when you go from the right to the left that's condensing you're condensing into just one log. So let's take a look at some examples.