Wednesday
July 30, 2014

Homework Help: math

Posted by michelle on Tuesday, March 13, 2007 at 10:19pm.

write as a single logarithm:

ln(x/x-1)+ ln(x+1/x)- ln(x^2-1)

please show me the steps.

thanx

Michelle, I hope you know the three main rules of logs.
1. log (AB) = log A + log B
2. log (A/B) = log A - log B
3 log A^n - n log A

Using these rules and guessing at your order of operations you would have

ln[{x/(x-1)}{(x+1)/x}all over (x^2-1)]

factoring the bottom into (x+1)(x-1) and reducing the inside of the square bracket I got

ln(1/(x-1)^2)

now using rule #2 and #3 you would get

ln 1 - ln(x-1)^2
= 0-2ln(x-1)
=-2ln(x-1)

thank u sooooo much. been tryin to figure out wat ive been doing wrong.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
Precalc - how to write each expression into a single logarithm. 3log[4]x^(2) + (...
pre calculous - use the properties of logarithms to write the expression as a ...
Math - Logarithm - Solve the following logarithm equation. Please show all of ...
Review of Logs - I can't seem to get the answer to this; the answer key says log...
Precalculus - 1. Write the given expression as a single logarithm. log(70x)+log(...
Math - Write expression as single logarithm - Write the expression below as a ...
LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
Algebra - will you please show me step by step in solving: 1/2 log b + 3 log c. ...
Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...

Search
Members