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# Logarithms question watch

1. Can someone help me with this please
6. In an experiment, the number of bacteria, N, in a culture was estimated at time t days after the measurements started.
The results were as follows:
t 1 2 3 4 5 6
N 120 170 250 400 620 910
It is believed that the relationship between N and t can be expressed in the
form where a and b are constants.
N=ab/\t (to the power t)
(i) Explain how this can be tested by plotting log N against t. [2]
(ii) Make out a table of values of log N and draw the graph. [3]
(iii) Use your graph to estimate the values of a and b. [3]
(iv) Estimate the number of bacteria present after 20 days.

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Updated: February 14, 2016
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