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*2) \\ =\log _(24)54 \\ =1.255 \end{gathered}`

So the value is 1.255