Answer:
![\log_(144)(12)=(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yvxgf4hjy6elz2ynv4vgysfdyyr9k5qa4x.png)
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
is equivalent to
![log_a(b)=x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a3e2s6fyct7rrmjr4v1ea7b14a3sbochig.png)
There are some restrictions on what a and b can be.
You read
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
![\log_(144)(12)=(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yvxgf4hjy6elz2ynv4vgysfdyyr9k5qa4x.png)