My Math Forum Log help for a not so good math student!

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 November 10th, 2011, 08:29 AM #1 Newbie   Joined: Nov 2011 Posts: 4 Thanks: 0 Log help for a not so good math student! Can someone help me answer these log equations... Use the properties of logarithms to write the expression as a sum, difference, and/or constant multiple of logarithms(assume all variables are positive) 1.) Log(10) Y/2 2.) Log(6) z-3 And these as well Write the expression as the logarithm of a single quantity. 1.) 1/3 log(3) 5x 2.) ln(x-2)-ln(x+2) Could you please do it step by step because I am confused...Thank you very much for your help!!
 November 10th, 2011, 08:45 AM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: Log help for a not so good math student! What are the "properties of logs" ?? I know the answer, and believe that You should ask yourself this question. log(ab) = log(a) + log(b) is one property. log(6) = log(3) + log(2) is an example of this property. If you can name the properties and explain them in plain English, you will be able to do these problems. Also, should it read "z - 3", or "z^-3" ?
November 10th, 2011, 08:56 AM   #3
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Re: Log help for a not so good math student!

Quote:
 Originally Posted by The Chaz What are the "properties of logs" ?? I know the answer, and believe that You should ask yourself this question. log(ab) = log(a) + log(b) is one property. log(6) = log(3) + log(2) is an example of this property. If you can name the properties and explain them in plain English, you will be able to do these problems. Also, should it read "z - 3", or "z^-3" ?

z^-3(-3 exponent)

Thanks for the info and I will give it a shot...

For the first one...is it log(3) 1/3+x^5?

 November 10th, 2011, 11:14 AM #4 Newbie   Joined: Nov 2011 Posts: 4 Thanks: 0 Re: Log help for a not so good math student! Can anyone help me out These 2 (Write the expression as the logarithm of a single quantity) 1.) 1/3 log(3) 5x 2.) ln(x-2)-ln(x+2) 1.)Log(10) Y/2 2.) Log(6) z^-3 I'm not being lazy...I legitimately don't understand how to do them and how to get the correct answer.
 November 10th, 2011, 11:35 AM #5 Newbie   Joined: Nov 2011 Posts: 4 Thanks: 0 Re: Log help for a not so good math student! Chaz is this one of the correct answers? For log(6)z^-3 I got 1-3log(6)z
 November 18th, 2011, 09:59 AM #6 Global Moderator   Joined: Dec 2006 Posts: 20,262 Thanks: 1958 Where did the "1" come from? You need to use the rule that $\log_b(x^n)\,=\,n\log_b(x).$

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