The first step for expanding this expression is to use the logarithmic product and the quotient rule.
㏒[tex] _{5} [/tex](2) + ㏒[tex] _{5} [/tex] (x²) + ㏒[tex] _{5} [/tex](y)
Lastly,, use ㏒[tex] _{a} [/tex][tex]( b^{x}) [/tex] = x × ㏒[tex] _{a} [/tex](b) to transform the expression.
㏒[tex] _{5} [/tex](2) + 2㏒[tex] _{5} [/tex](x) + ㏒[tex] _{5} [/tex](y)
This means that the expanded version of your expression is going to be ㏒[tex] _{5} [/tex](2) + 2㏒[tex] _{5} [/tex](x) + ㏒[tex] _{5} [/tex](y).
Let me know if you have any further questions.
:)
