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How to expand break log

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hey everybody this is Paul today Im going to be showing you how to expand the logarithm so this is lesson 10 in my tutorial on logarithms and up till now Ive been showing you properties of logarithms and now Im going to show you how to use those properties to expand an expression so if we have log base 3 of x squared Y to the third divided by Z and we want to use properties of logarithms to stretch out the statement to make it basically a longer form we can use the properties Ive been talking about in my previous videos so one of the properties I explained to you is that when we have a logarithm of a fraction then thats equal to the logarithm of the numerator minus the logarithm of the denominator so lets go ahead and write that out here so log base 3 of all this stuff is equal to log base 3 of the numerator so our numerators was on top x squared + y to the 3rd n minus log base 3 of our denominator and the denominator is whats on bottom which is our Z so weve expanded this a l

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How do you expand and condense logs?

1:12 9:31 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. Thats expanding when you go from the right to theMoreSo now when you go from the left to the right. Thats expanding when you go from the right to the left thats condensing youre condensing into just one log. So lets take a look at some examples.

How do you expand 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.

How do you expand log 3?

0:08 1:27 Expand: log(32^3) - YouTube YouTube Start of suggested clip End of suggested clip So i can expand that to be edition. So i the log. Of 3 plus log of 2 to the third power. Okay.MoreSo i can expand that to be edition. So i the log. Of 3 plus log of 2 to the third power. Okay.

How do you write a log in expanded form?

0:13 5:41 100 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 Ive got aMoreSo first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course Ive got a Y Z on the bottom which means both of those will be subtracted. So log base 4 of Y.

What does Expanding a logarithm mean?

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.

How do you write log in expanded form?

0:13 5:41 100 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 Ive got aMoreSo first thing I would do is say log base 4 of 5 plus log base 4 of X. And then of course Ive got a Y Z on the bottom which means both of those will be subtracted. So log base 4 of Y.

What does expand log mean?

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.

How do you expand a condense log?

0:36 9:31 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.

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