(2/4) In Lecture

When you need to divide exponents with the same base, you can just subtract the exponent in the denominator from the exponent in the numerator. When you take the natural log of e, you are left with just the exponent. Practice solving this equation without a calculator. ln(e98 ÷ e72) = ?

26

When you need to multiply exponents with the same base, you can just add the exponents together. When you take the natural log of e, you are left with just the exponent. Practice solving this equation without a calculator. ln(e23 x e16) = ?

39

Given a population of e20 began experiencing exponential growth at t = 0, and a reached a size of e60 bacteria after 5 hours, what is the growth constant, expressed in hours, for this population of bacteria? Report your answer to two decimal places.

8

Logarithms and exponents are related. log10 100 = 2 In the above example, 10 is the base, 2 is the exponent, and 100 is the argument. The equation can be written as an exponent as 102 = 100 Correctly match the highlighted components of a logarithm and an exponent in the examples below.

e 2 = 7.39 Correct B. base Correct B. base loge 2 = 0.69 Correct A. exponent Correct A. exponent e 2 = 7.39 Correct A. exponent Correct A. exponent loge 2 = 0.69 Correct C. argument Correct C. argument e 2 = 7.39 Correct C. argument Correct C. argument loge 2 = 0.69 Correct B. base Correct B. base

The log of its base is always equal to 1. Anything raised to the power of 0, is equal to 1. Anything raised to the power of 1, is equal to itself. Which of the following is a correct mathematical relationship?

ln e = e0

From the list below, pick the two inverse functions. *Do not pick the multiplicative inverse (also known as the reciprocal).

log10 1000 = 3 103 = 1000