Answer:
The answer is
Step-by-step explanation:
C................
A more simplified way to show this is 3/10
Answer:
yes rational
Step-by-step explanation:
a rational is a integer, fraction, terminating decimal, or repeating decimal
Answer:
![\log_{19}{361}=2](https://tex.z-dn.net/?f=%5Clog_%7B19%7D%7B361%7D%3D2)
Step-by-step explanation:
We know that taking logarithms performs the transformation ...
![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}](https://tex.z-dn.net/?f=b%5Ee%3Dx%5C%5C%5C%5Ce%5Ccdot%5Clog%7Bb%7D%3D%5Clog%7Bx%7D%5Cquad%5Ctext%7Btake%20logs%7D%5C%5C%5C%5Ce%3D%5Cdfrac%7B%5Clog%7Bx%7D%7D%7B%5Clog%7Bb%7D%7D%5Cquad%5Ctext%7Bdivide%20by%20%24%5Clog%7Bb%7D%24%7D%5C%5C%5C%5C%5Clog_b%7Bx%7D%3De%5Cquad%5Ctext%7Buse%20the%20change%20of%20base%20formula%7D)
Then for b=19, e=2, x=361, we have
![\boxed{\log_{19}{361}=2}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Clog_%7B19%7D%7B361%7D%3D2%7D)