Question

If log 2= a and log 3= b, express ln8 / ln5 in terms of a and b.

Answer 1

ln 8 =ln 2^3-----)a^3
ln 5=ln3+ln2-----)a+b
so,finally ...a^3/a+b

Answer 2

i think
\[\ln(5)\neq \ln(3)+\ln(2)\]

Answer 3

why?

Answer 4

i think ln 3 + ln 2 should be ln 6...
i actuallly got the answer ..it is a+2b / 1-a
but i dont know the steps...

Answer 5

ooops , sorry
the question is ln 18 / ln 5

Answer 6

Because the log are to base e they can be added like so
ln2+ln3=ln(2*3)=ln6

Your numerator a+2b=ln18 is right but 1-a doesn't equal ln5