Question

Express in terms of log 2 and log 3 ii) log root 54 *

Answer 1

$log( \sqrt{54} ) = \frac{1}{2 } log(54)$

$\frac{1}{2}{ ( log(2 \times {3}^{3} )})$

$\frac{1}{2} ( log(2) + log( {3}^{3} ) )$

$\frac{1}{2} ( log(2) + 3 log(3) )$