Conversion of bases with logarithms

The question says if ${\mathrm{log}}_{6}(2)$ is $a$ and ${\mathrm{log}}_{5}(3)$ is $b$, express ${\mathrm{log}}_{5}(2)$ in terms of $a$ and $b$

I have tried the change of base formula for $ab$ to no avail, can someone give me a hint to get started, and the solution, hidden behind a spoiler tag, if I get stuck? Thanks.

The question says if ${\mathrm{log}}_{6}(2)$ is $a$ and ${\mathrm{log}}_{5}(3)$ is $b$, express ${\mathrm{log}}_{5}(2)$ in terms of $a$ and $b$

I have tried the change of base formula for $ab$ to no avail, can someone give me a hint to get started, and the solution, hidden behind a spoiler tag, if I get stuck? Thanks.