Question

A certain bacteria doubles every hour. Using the inequality below, determine the number of hours, x, when the bacteria count will be greater than 512.

2x > 512

x > 11
x > 10
x > 9
x > 7

Answer 1

that doesnt make sense

Answer 2

22, 20, 18 and 14 are all less than 512

Answer 3

@hartnn

Answer 4

For 1 hour the bacteria count will be 2. For 2 hours it'll be 2*2. For 3 hours 2*2*2
For x hours the bacteria count will be 2^x. \[2^{x}>512 => x>\log_{2}(512) => x>\log_{2}(2^{9}) => x>9\]