Expert: Steve Holleran - 11/19/2007

Question
Hello I am taking College Algebra
The question I have is. Use properties of lagarithms to expand the logarithmic expression as much as possible. Where possible evaluate logarithmic expressions without using a calculator. I cannot get the 6 to drop down below the line.
I have no idea what the answer is. I did not have an example for the fraction.
log6(7/6)
I think the answer is log

Answer
Hi John,

Okay, we have log(6) 7/6

One property states that the log of a quotient is the difference of the logs, so what you have is equal to :

    log(6) 7 - log(6) 6

=    log(6) 7 - 1  But this is as far as I can see to go, because you would need a calculator to evaluate the base 6 log of 7.

Hope this helps
Steve