Answer:
[tex]\log_{19}{361}=2[/tex]
Step-by-step explanation:
We know that taking logarithms performs the transformation ...
[tex]b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}[/tex]
Then for b=19, e=2, x=361, we have
[tex]\boxed{\log_{19}{361}=2}[/tex]
