# pre-calculus

posted by .

write the expression as a simple logarithm. express powers.

In(x/x-5)+In(x+5/x)-In(x^2-25)

• pre-calculus -

Assuming you meant:
In(x/(x-5))+In((x+5)/x)-In(x^2-25)
= lnx - ln(x-5) + ln(x+5) - lnx - ( ln(x+5) + ln(x-5) )
= lnx - ln(x-5) + ln(x+5) - lnx - ln(x+5) - ln(x-5)
= -2ln(x-5)
or -ln(x-5)^2 or ln(x-5)^-2

## Similar Questions

1. ### Precalculus

1. Write the given expression as a single logarithm. log(70x)+log(10y)-2 2. Write the given expression as a single logarithm. ln7e/(square root 2x)-ln(square root 2ex) 3. Write the given expression as a single logarithm. -2Ln(x)+Ln(4y)-Ln(5z)
2. ### Math - Write expression as single logarithm

Write the expression below as a single logarithm. Please show all of your work. ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))
3. ### 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 …
4. ### pre calculus

Change the exponentioanl expression to an equivalent expression involving a logarithm. e^-1/3 = 9t Somebody help PLease!
5. ### pre calculus

Write the expression below as a single logarithm. 2in(x+4)-in((x^(2)+x-12)/(x))
6. ### pre calculus

Write the expression below as a single logarithm. Need to know how to work this! ln(x-5/x^2 - 1) - ln (x^2 - 2x -15/x + 1)
7. ### Pre-Calculus - Reiny

Reiny you helped me with this logarithm yesterday: How did you write it out as log2 ( √A / B^3 ) Laws of logarithms combine, write as a single logarithm Need help on this question please, Im stuck, don't know where to go abouts …
8. ### math

write the expression as a sinle logarithm. express powers as factors. In (x/x-1)+In(x+1/x)-In(x^2-1) Please show work.
9. ### math: pre-calculus

Write the expression as a single logarithm. Ln(e^3y)+ln(ey)-4
10. ### Pre-Calculus 12

Write the following expression as a single logarithm: 4 log 3 + 2

More Similar Questions