Question

Which is the same function as f(x) = ln x/3
A.) g(x) = ln x - ln 3
B.) g(x) = ln x/ln 3
c.) g(x) = ln 3 - ln x
d.) g(x) = ln x + ln 3
Please explain

Answer 1

Properties of logarithms say that \(\log(a/b)=\log(a)-\log(b)\). Use this property to come up with an answer.

Answer 2

but whats a and whats b I don't understand what to plug in ):

Answer 3

\[
\ln(\color{red}x/\color{blue}3)
\]\[
\ln(\color{red}a/\color{blue}b)
\]

Answer 4

It is called pattern matching. It is fundamental part of algebra.