Logarithmic Eqns: log3 (x+6) + log3 (x-6) - log3 x = 2  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

Logarithmic Eqns: log3 (x+6) + log3 (x-6) - log3 x = 2

Postby dfogelberg on Sat Jul 09, 2011 12:35 am

Would anyone know how to work the following log equation.

log3 (x+6) + log3 (x-6) - log3 x = 2
dfogelberg
 
Posts: 1
Joined: Sat Jul 09, 2011 12:01 am

Sponsor

Sponsor
 

Re: Logarithmic Eqns: log3 (x+6) + log3 (x-6) - log3 x = 2  TOPIC_SOLVED

Postby maggiemagnet on Sat Jul 09, 2011 10:03 pm

dfogelberg wrote:Would anyone know how to work the following log equation.

Yes, and you can read about it here!

dfogelberg wrote:log3 (x+6) + log3 (x-6) - log3 x = 2

First, combine the three logs on the left into one big log, using the rules explained here. Then convert the log equation from log3(big thing) = 2 into 32 = (big thing), and solve the rational equation for x.

Remember to check the answer in the original equation!!

:clap:
User avatar
maggiemagnet
 
Posts: 299
Joined: Mon Dec 08, 2008 12:32 am


Return to Advanced Algebra ("pre-calculus")