Solve the Exponential Equation Algebraically $3 ^ { 8 x } = 2400$

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places. $3 ^ { 8 x } = 2400$

A) $\frac { \ln 2400 } { 8 \ln 3 } \approx 0.018$
B) $\frac { \ln 2400 } { 8 \ln 3 } \approx 0.886$
C) $\frac { \ln 2400 } { 8 \ln 3 } \approx 0.089$
D) $\frac { \ln 2400 } { 8 \ln 3 } \approx - 0.886$
E) $\frac { \ln 2400 } { 8 \ln 3 } \approx 1.248$