Question 124444
log6 (3) + log5 (2)


There is a formula that allows you to convert logs of different base numbers to ln, which is log base e.


{{{log(b,M)= (ln M)/(ln b) }}}


{{{log (6,3)+ log(5,2)}}}
{{{(ln 3)/(ln 6) + (ln2)/(ln5) }}}


Next, find a common denominator:
{{{ ((ln 3)(ln5) + (ln 2)(ln 6))/((ln 6)*ln(5)) }}}


This looks like the last choice  F.


For additional explanation of logarithms, please see my own website by clicking on my tutor name "rapaljer" anywhere in algebra.com.  Go to the "MATH IN LIVING COLOR" pages, choose "College Algebra", and look at topics in Chapter 4 LOGARITHMS.


R^2