Question

a scientist counts 25 bacteria present in a culture and finds that the number of bacteria triples each hour. the function y=25*3^x models the number of bacteria after x hours estimate when there will be about 1170 bacteria in the culture

Answer 1

Y=25*3^x
1170=25*3^x
25*3^x=1170
3^x=1170/25
3^x=46.8
Log10(3^x)=LOg10(46.8)
x*log10(3)=log10(46.8)
x=(log10/46.8))/(log10(3))
x=1.60724585307/0.47712125472
x=3.50067375233
x=3.50