Solve the Problem $G = \log \left( \frac { P _ { 0 } } { P _ { i } } \right) ^ { 10 }$

Multiple Choice

Solve the problem.
-Use the mathematical model for power gain, $G = \log \left( \frac { P _ { 0 } } { P _ { i } } \right) ^ { 10 }$ , where $P _ { 0 }$ is the output power in watts and $P _ { i }$ is the input power in watts. Determine the power gain $\mathrm { G }$ , in decibels, for an amplifier with an output $P _ { 0 }$ of 19 watts and an input $P _ { i }$ of $1.1$ watts. Round to five decimal places if necessary.

A) $12.37361 \mathrm {~dB}$
B) $12.52853 \mathrm {~dB}$
C) $13.37361 \mathrm {~dB}$
D) $13.20146 \mathrm {~dB}$