Variables
natural log
log
100

In the logarithm formula, what does k stand for?

Rate of growth/decay

100

How many hours will it take a culture of bacteria to increase from 20 to 2000?

7.50028

100

5^x=3125

5

200

In the logarithm formula, what does f(t) stand for?

The initial amount
200

A radioactive substance has a half-life of 32 years. Find the constant k in the decay formula for the substance?

0.02

200

12^r=13

1.03

300
In the logarithm formula, what does a stand for?

The intial value

300

Four bacteria are growing on your desk and they grow by 40% every minute, assuming that class is 45 minutes long how much bacteria will accumulate on the desk over one class period?

262,640,000 bacteria

300

20^-6n + 6=55

-0.22

400

In the logarithm formula, what does t stand for?

Time

400

e^x=28

3.33

400

5 * 6^3m=20

4

500

What is the difference in the formulas for exponential growth and decay?

Exponential growth is positive, while exponential decay is negative. The negative sign goes in front of the k.

500

In 2007, the population of the state of Georiga was 9.36 million people. In 2000, it was 8.18.

0.01925

500

9^n+10+3=81

78

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