Lesson 3.3 - Practice Part 2 (Change of Base Formula)

Why is the change of base formula important when working with logarithms?

• It is only applicable for natural logarithms.

• It simplifies logarithms into exponential equations.

• It eliminates the need for graphing calculators.

• It allows evaluation of logarithms with any base using calculators.

• Divide log(4) by log(6) using a calculator.

• Multiply log(4) by log(6) using a calculator.

• Rewrite it as an exponential equation.

• Use natural logarithms instead of common logarithms.

• The base raised to the power equals the original number.

• The base multiplied by the power equals the original number.

• The base divided by the power equals the original number.

• The base subtracted from the power equals the original number.

In the ecological diversity model, what is the first step to calculate the measure of diversity?

• Multiply n1 and n2 together.

• Use the change of base formula directly.

• Simplify the fractions for n1/S and n2/S.

• Add the values of n1 and n2 to find S.