math
posted by michelle .
write as a single logarithm:
ln(x/x1)+ ln(x+1/x) ln(x^21)
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/(x1)}{(x+1)/x}all over (x^21)]
factoring the bottom into (x+1)(x1) and reducing the inside of the square bracket I got
ln(1/(x1)^2)
now using rule #2 and #3 you would get
ln 1  ln(x1)^2
= 02ln(x1)
=2ln(x1)
thank u sooooo much. been tryin to figure out wat ive been doing wrong.
Respond to this Question
Similar Questions

LOGARITHMS
HI THE QUESTION STATES THAT ONE SHOULD CALCULATE THE LOGS WITHOUT THE USE OF A CALCULATOR...OKAY MY PROBLEM IS THIS... 2 3 2log 8 + 2log 8 what should i do? 
math
write as a single logarithm: 2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A  log B 3 log A^n = n log A use these … 
Mathematics
Prove that log a, log ar, log ar^2 is an a.p. Is the following below correct? 
Math Help Please
Which of the following expressions is equal to log (x sqrty)/z^5 A. log x + log (1/2) + log y– log 5 – log z B. log [x + (1/2)y – 5z] C. log x + (1/2)log y – 5 log z d. [(1/2) log x log y]/(5 log z) 
math
Logarithm!!! Select all of the following that are true statements: (a) log(2x) = log(2) + log(x) (b) log(3x) = 3 log(x) (c) log(12y) = 2 log(2) + log(3y) (d) log(5y) = log(20y) – log(4) (e) log(x) = log(5x) – log(5) (f) ln(25) … 
Algebra
How would I write 12log(7)x as a single logarithm Choices: log(7) x^2/7 log(7) 7x^2 log(7) 7/x^2 log (7) x^2 Thank you 
pre calculous
use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. show your work ln x^2/y^3 Assuming x,y AND z are positive use properties of logariths to write the expression … 
college algebra
Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4  log x^3 4 log (x+3)  5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please. 
Advanced Functions/ Precalculus Log
1. Evaluate 4^(log base4 64) + 10^(log100) 2. Write 1+log(base2)x^3 as a single logarithm 3. Write log(base b)√(x^3 y z^6) 4. Solve log(base 2)xlog(base 2)6=log(base 2)5+2log(base 2)3 5. Solve 3^(2x) = 9(81^x) 6. Solve 3^(2x)=7^(3x1). … 
Algebra 2
How is the expression log 32  log 8 written as a single logarithm?