From the question we are to expand
[tex]\log _2(5x^2)[/tex]
This is done as follows
[tex]\begin{gathered} \log _2(5x^2) \\ =\log _2(5\times x^2) \\ =\log _25+\log _2x^2 \\ =\log _25+2\log _{2_{}_{}}x \end{gathered}[/tex]
Therefore, the answer is
[tex]\log _25+2\log _2x[/tex]
