The expression logâ‚‚(10) tells us when the population reaches 10,000 and the equation 7 = logâ‚‚(128) tells us that the population reaches 128,000 in 7 days.
An exponential function is in the form:
y = abËŁ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
[tex]p=2^d[/tex]
Hence, d = logâ‚‚p represents a logarithmic function
The expression logâ‚‚(10) tells us when the population reaches 10,000 and the equation 7 = logâ‚‚(128) tells us that the population reaches 128,000 in 7 days.
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