Word problem using ln

Question

On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens sho drank water from the pump had died. The cumulative number of deaths D(t) at a time t days after Aug. 31 is given by D(t)=91 +160 ln(t+1)

A. Determine the cumulative number of deaths by September 15. Round to the nearest whole unit.

B. Approximately how many days garter August 31 did the cumulative number of deaths reach 600? 

Answer 1

D(t)=91 +160 ln(t+1)

A. On Sep. 15, t = 15:

D(15) = 91 + 160ln(15+1)

Use your calculator to get the answer

B. D(t) = 600

600 = 91 + 160ln(t+1)

509 = 160ln(t+1)

3.18125 = ln(t+1)

e^3.18125 = t + 1

Can you finish from here? Use your calculator to get the answer, round to the nearest number of days.