$\begingroup$

Which is bigger between $2018^{2019}$ or $\ 2019^{2018}\ $?

When taking logs of both sides and I get:

$2019\log(2018)\ $ and $\ 2018 \log(2019)$

I know $\log 2019\gt \log 2018$ so does this mean that $2019^{2018}$ is the biggest one? And did I do it properly?

Answers