Answer
62.7 hours
Work Step by Step
Obtain: $7.7e^{0.14x}=50000$
Solve for x: $e^{0.14x}=\frac{50000}{7.7}\\\ln e^{0.14x}=\ln\frac{50000}{7.7}\\\ln\frac{50000}{7.7}=0.14x\\x=\frac{\ln\frac{50000}{7.7}}{0.14}\approx62.7$
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