Question

12^x-2=20 im doing logarithms

Answer 1

12^x=20-2
12^x=22

This is a log property
\[a^{b}=C, \log_a{C}=b \]
I think this will help just plug in

Answer 2

thank you!

Answer 3

welcome

Answer 4

$$
12^x-2=20\\
12^x = 22\\
\text{using log cancellation rule of}\\
\color{blue}{log_aa^x =x}\\
log_{12}12^x = log_{12}22 \implies x = log_{12}22\\
\text{using log change of base rule of }\\
\color{blue}{log_ab = \frac{log_c(b)}{log_c(a)}}\\
x = \frac{log_{10} 22}{log_{10}12}
$$