SOLUTION
In this question, we are meant to simplify log 24.
Step 1: Expressing 24 as a product of its prime factors, we have that :
24 = 2 x 2 x 2 x 3
log 24 = log ( 2 x 2 x 2 x 3 )
Step 2 : log 24 =
[tex]\begin{gathered} \log (2^3X3^1\text{ )} \\ =log2^3+log3^{1\text{ }}\text{ }(\text{ Using the law of Indices )} \\ =\text{ 3 log 2 + log 3} \end{gathered}[/tex]CONCLUSION : log 24 = 3 log 2 + log 3
