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How to expand line log

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in this lesson were going to take a single log and expand it into a sum or difference of logs so before we do that lets just review some basic properties as you mentioned before log of a to the n is equivalent to n log a and log a times b you can expand it as log a plus log b and log a divided by b is going to be log a minus log b now because a is on the top its going to have a positive sign next to it b is on the bottom so it has a negative sign next to it so consider this problem log x y divided by z go ahead and expand the expression x and y are both on top so its going to be positive log x plus log y z is on the bottom so its going to be minus log z try this one log a squared b to the third c to the fourth d to the fifth go ahead and expand it so a and b are both on top so its going to be positive log a squared plus log b to the third c and d are on the bottom so its going to have a negative sign in front of it so its going to be minus log c to the fourth minus log d to th

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What does expand log mean?

Expanding a Log means going from a single Log of some value to two or. more Logs. This is easily understood when you look at the Multiplication Property. Log (A*B) = Log (A) + Log (B) You begin with a single Log of (A times B) and then expand it to the sum of two individual.

How do you condense a logarithm?

0:55 3:42 Condensing Logarithmic Expressions - YouTube YouTube Start of suggested clip End of suggested clip Minus log c to the seventh. Now we can write a single log a and b both have a positive sign in frontMoreMinus log c to the seventh. Now we can write a single log a and b both have a positive sign in front so theyre going to be on top a squared b to the fifth c has a negative sign in front of it.

What is the log value of 16?

So, the correct answer is 1.20.

How do you condense and expand logarithms?

0:44 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.

What are the rules associated with logarithms that allow you to condense or expand a logarithm are log?

1) Multiplication inside the log can be turned into addition outside the log, and vice versa. 2) Division inside the log can be turned into subtraction outside the log, and vice versa. 3) An exponent on everything inside a log can be moved out front as a multiplier, and vice versa.

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 15?

log 15 = log ( 5 3 ) log 15 = log 5 + log 3.

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 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 expand a logarithm?

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.

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