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)/(x2)] = log 2
(5+x)/(x2) = 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)/(x2))=log2
Take antilog on both sides
(5x)/(x2)=2
(5x)=2(x2)
Solve for x.

Math  Logarithm  Bosnian, Monday, June 6, 2011 at 12:43am
(5+x)/(x2)=2
5+x=2*(x2)
5+x=2x4
5+4=2xx
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(x6) x=? ...
 college algebra  solve the following logarithm equation log (4x+7)=1+log(x6) 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 ...
More Related Questions