Expand Break Log For Free

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.

Expanding Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip Go ahead and expand. It. So a and b are both on top so it's going to be positive log a squared plusMoreGo ahead and expand. It. So a and b are both on top so it's going to be positive log a squared plus log b to the third c and d are on the bottom. So it's going to have a negative sign in front of it.

Expanding and Condensing Logs - YouTube YouTube Start of suggested clip End of suggested clip You take a log of the numerator minus log of the denominator. So log of the one on top - log of theMoreYou take a log of the numerator minus log of the denominator. So log of the one on top - log of the one on the bottom again keeping the same base. And then the power property for logs.

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.

Expanding logarithmic expressions - YouTube YouTube Start of suggested clip End of suggested clip Minus the ln of y to the fourth. Now my last step is i can take my powers. And i can rewrite them asMoreMinus the ln of y to the fourth. Now my last step is i can take my powers. And i can rewrite them as the product of my logarithm. So therefore i have ln of 6 plus 2 ln of x. Minus 4 ln of y.

Summary. 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.

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.