Question

2log4 + 3log2 express as a single logarithm

Answer 1

$\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y)\qquad \qquad \end{array} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ log_a\left( x^b \right)\implies b\cdot log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 2log(4)+3log(2)\implies log(4^2)+log(2^3) \implies log(4^2\cdot 2^3)\implies log(128)$