Question

Exapnd the following using the properties of logarithms simplify when possible Solve number 5

Answer 1

From the question we are to expand

$\log _2(5x^2)$

This is done as follows

$\begin{gathered} \log _2(5x^2) \\ =\log _2(5\times x^2) \\ =\log _25+\log _2x^2 \\ =\log _25+2\log _{2_{}_{}}x \end{gathered}$

Therefore, the answer is

$\log _25+2\log _2x$