Posted by **Armando** on Sunday, June 5, 2011 at 11:23pm.

Solve the following logarithm equation. Please show all of your work.

log (5 + x) – log(x – 2) = log 2

- Math - Logarithm -
**Reiny**, Sunday, June 5, 2011 at 11:30pm
log (5 + x) – log(x – 2) = log 2

log [(5+x)/(x-2)] = log 2

(5+x)/(x-2) = 2

2x - 4 = 5+x

x = 9

- Math - Logarithm -
**MathMate**, Sunday, June 5, 2011 at 11:32pm
Use law of logarithms,

log(a)-log(b)=log(a/b)

So

log (5 + x) – log(x – 2) = log 2

=log((5+x)/(x-2))=log2

Take anti-log on both sides

(5-x)/(x-2)=2

(5-x)=2(x-2)

Solve for x.

- Math - Logarithm -
**Bosnian**, Monday, June 6, 2011 at 12:43am
(5+x)/(x-2)=2

5+x=2*(x-2)

5+x=2x-4

5+4=2x-x

9=x

x=9

- Math - Logarithm -
**Anonymous**, Wednesday, July 18, 2012 at 12:54am
−6ln(x) − 8ln(y) +

1

8

ln(z)

## Answer this Question

## Related Questions

- math - Logarithm!!! Select all of the following that are true statements: (a) ...
- math - write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of...
- Mathematics - Prove that log a, log ar, log ar^2 is an a.p. Is the following ...
- college alg - solve the following logarithm equation log (4x+7)=1+log(x-6) x=? ...
- college algebra - solve the following logarithm equation log (4x+7)=1+log(x-6) x...
- college algebra - Write expression as one logarithm and simplify if appropriate...
- Advanced Functions/ Precalculus Log - 1. Evaluate 4^(log base4 64) + 10^(log100...
- calculus - Please help me solve this equation. log[2](3)+log[2](x)=log[2](5)+log...
- pre calculous - use the properties of logarithms to write the expression as a ...
- math - solve for x without using a calculator 5^(x+1) = 25 i know that x would ...