A circle has a radius of \log _{10}\left(a^{2}\right) and a circumference of \log _{10}\left(b^{4}\right). What is \log _{a} b ?
Answer Choices
A. \dfrac{1}{4 \pi}
B. \dfrac{1}{\pi}
C. \pi
D. 2 \pi
E. 10^{2 \pi}
A circle has a radius of \log _{10}\left(a^{2}\right) and a circumference of \log _{10}\left(b^{4}\right). What is \log _{a} b ?
Answer Choices
A. \dfrac{1}{4 \pi}
B. \dfrac{1}{\pi}
C. \pi
D. 2 \pi
E. 10^{2 \pi}