Solve $\left( 14 - \frac { 0.978 } { 22 } \right) ^ { 2 t } = 50$ for t. Round your answer to four decimal places.
A)1.4841
B)0.7412
C)3.0151
D)0.7421
E)2.7571

Question

Quizplus · Accepted Answer

First, calculate the base: $14 - \frac{0.978}{22} \approx 13.9555$. Then solve $(13.9555)^{2t} = 50$. Taking the logarithm of both sides and solving for $t$, we find $t \approx 0.7421$.

Solve (14−0.97822)2t=50\left( 14 - \frac { 0.978 } { 22 } \right) ^ { 2 t } = 50(14−220.978​)2t=50

Solve $\left( 14 - \frac { 0.978 } { 22 } \right) ^ { 2 t } = 50$