A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$
Find the time required for the colony to grow to two million bacteria.

Question

A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$ 
Find the time required for the colony to grow to two million bacteria.

Quizplus · Accepted Answer

The Answer of A certain strain of bacteria divides every three hours. If a colony is started with 50 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$ 
Find the time required for the colony to grow to two million bacteria.

A Certain Strain of Bacteria Divides Every Three Hours t=3log⁡(N/50)log⁡2t = 3 \frac { \log ( N / 50 ) } { \log 2 }t=3log2log(N/50)​

A Certain Strain of Bacteria Divides Every Three Hours $t = 3 \frac { \log ( N / 50 ) } { \log 2 }$