Answer:
The value of x for the log function is 0.75
Step-by-step explanation:
Given log function as :
[tex]Log_{3}[/tex]x = [tex]Log_{3}[/tex]12 - [tex]Log_{3}[/tex]16
Now. from log property
[tex]\frac{log_{a}m}{log_{a}n}[/tex] = [tex]Log_{a}[/tex]m - [tex]Log_{a}[/tex]n
So, [tex]Log_{3}[/tex]x = [tex]Log_{3}[/tex]12 - [tex]Log_{3}[/tex]16
Or, [tex]Log_{3}[/tex]x = [tex]\frac{log_{3}12}{log_{3}16}[/tex]
or, [tex]Log_{3}[/tex]x = [tex]\frac{log_{3}3}{log_{3}4}[/tex]
Now removing log with base 3 both side
∴ x = [tex]\frac{3}{4}[/tex]
I.e x = 0.75
Hence The value of x for the log function is 0.75 Answer
