Question

hello whoever you are ,,,, i j need to check a question, in math, "determine the value of 9 log_24 2 + log_24 27" my answer is 3 but i'm not 100% sure if it's correct

Answer 1

Given:

$\log _{24}2+\log _{24}27$

Sol:.

Use log property then:

$\log _xab=\log _xa+\log _xb$

So:

$\begin{gathered} =\log _{24}2+\log _{24}27 \\ =\log _{24}(27\times2) \\ =\log _{24}54 \\ =1.255 \end{gathered}$

So the value is 1.255