Solve for the Indicated Variable $\mathrm { D } = \mathrm { D } _ { 0 } \mathrm { e } ^ { \mathrm { kt } / 800 , }$

Multiple Choice

Solve for the indicated variable.
- $\mathrm { D } = \mathrm { D } _ { 0 } \mathrm { e } ^ { \mathrm { kt } / 800 , }$ , for $\mathrm { t }$

A) $t = \frac { 800 \mathrm { D } } { \mathrm { kD } _ { 0 } }$
B) $t = \frac { 800 } { k } \ln \frac { D } { D _ { 0 } }$
C) $t = \frac { 800 } { k } \ln \left( D - D _ { 0 } \right)$
D) $t = \frac { k } { 800 } \ln \frac { D } { D _ { 0 } }$