Solve for the Indicated Variable $\mathrm { P } = 20,000 \cdot \mathrm { e } ^ { \mathrm { t } / 3 }$

Multiple Choice

Solve for the indicated variable.
- $\mathrm { P } = 20,000 \cdot \mathrm { e } ^ { \mathrm { t } / 3 }$ , for $\mathrm { t }$

A) $t = \ln ( 20 \mathrm { P } )$
B) $t = 3 \cdot \ln \frac { P } { 20,000 }$
C) $t = 3 \cdot \ln \frac { P } { 3000 }$
D) $t = 20 \cdot \ln \mathrm { P }$