The census bureau for a large country has reported that the country is becoming more diverse. The projected population​ (in millions) of a certain minority

The census bureau for a large country has reported that the country is becoming more diverse. The projected population​ (in millions) of a certain minority is modeled by the exponential function h left parenthesis t right parenthesis equals 37.76 left parenthesis 1.024 right parenthesis Superscript th(t)=37.76(1.024)t where tequals=0 corresponds to 2000 and 0less than or equals≤tless than or equals≤50. Complete parts a and b below. a. Estimate in what year the​ minority’s population will double the 2005 population of 42.5142.51 million. Use the algebra of logarithms to solve this problem. The​ minority’s population will double the 2005 population in nothing . ​(Round down to the nearest whole​ number.) b. The projected population​ (in millions) of another minority is modeled by the exponential function h left parenthesis t right parenthesis equals 11.13 left parenthesis 1.021 right parenthesis Superscript th(t)=11.13(1.021)t where tequals=0 corresponds to 2000 and 0less than or equals≤tless than or equals≤50. Estimate in what year this​ minority’s population will double the 2005 population of 12.3512.35 million. This​ minority’s population will double the 2005 population in nothing . ​(Round down to the nearest whole​ number.)