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

## Related Questions

- math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
- math - Logarithm!!! Select all of the following that are true statements: (a) ...
- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- college algebra - Write expression as one logarithm and simplify if appropriate...
- Mathematics - Prove that log a, log ar, log ar^2 is an a.p. Is the following ...
- Algebra - How would I write 1-2log(7)x as a single logarithm Choices: log(7) x^2...
- pre calculous - use the properties of logarithms to write the expression as a ...
- Math Help Please - Which of the following expressions is equal to log (x sqrt-y...
- LOGARITHMS - HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT ...
- mathematics -logs - which three statements are true? a) if x= -10^4 then log 10...

More Related Questions