The population P of a city increases according to the equation P=5000e0.0238t, where trepresents the number of years since the city was established. Part A

Given that the city's population continues to increase at the same rate, what is an equation that represents the number of years, t, it will take for the population to reach 30,000? Express your answer as a logarithm.

T=

Part B

Approximately how many years will it take for the city's population to reach 30,000? Round your answer to the nearest whole number.