Express as a single logarithm and, if possible, simplify.
-$\frac { 1 } { 2 } \ln \left( 49 t ^ { 16 } \right) - \ln 7$
A) $\ln \left( t ^ { 8 } \right)$
B) $\ln 7 \left( t ^ { 8 } - 1 \right)$
C) $\ln \left( \frac { 7 } { 2 } t ^ { 8 } \right)$
D) $\ln \left( 7 t ^ { 8 } \right)$

Question

Quizplus · Accepted Answer

The expression can be simplified using logarithm properties: $\frac { 1 } { 2 } \ln \left( 49 t ^ { 16 } \right) - \ln 7 = \ln \left( \sqrt{49 t^{16}} \right) - \ln 7 = \ln \left( 7t^8 \right) - \ln 7 = \ln \left( \frac{7t^8}{7} \right) = \ln \left( t^8 \right)$.

Express as a Single Logarithm And, If Possible, Simplify 12ln⁡(49t16)−ln⁡7\frac { 1 } { 2 } \ln \left( 49 t ^ { 16 } \right) - \ln 721​ln(49t16)−ln7

Express as a Single Logarithm And, If Possible, Simplify $\frac { 1 } { 2 } \ln \left( 49 t ^ { 16 } \right) - \ln 7$