Answer:
[tex]\log_{144}(12)=\frac{1}{2}[/tex]
Step-by-step explanation:
First step identify the base. The base is 144.
The exponent is the logarithm.
The number not mentioned is the one that goes inside.
In other words [tex]a^x=b[/tex] is equivalent to [tex]log_a(b)=x[/tex]
There are some restrictions on what a and b can be.
You read [tex]log_a(b)=x[/tex] as log base a of b equals x
x is the exponent
a is the base
So we have log base 144 of 12 equals 1/2
[tex]\log_{144}(12)=\frac{1}{2}[/tex]