Chapter 11 Logarithms - St. Francis Preparatory School

Chapter 11 Logarithms

Lesson 1: Introduction to Logs Lesson 2: Graphs of Logs Lesson 3: The Natural Log Lesson 4: Log Laws Lesson 5: Equations of Logs using Log Laws Lesson 6: Exponential Equations using Logs Lesson 7: Applications of Logs

This assignment is a teacher-modified version of Algebra 2 Common Core Copyright (c) 2016 eMath Instruction, LLC used by permission.

Lesson 1 Introduction to Logs Introduction to Logarithms: Exercise #1: Find the inverse of the function f(x) = 2x. Recall: To find the inverse of a function, we ___________________________________ and then solve for y.

Logarithmic Functions: Defining Logarithmic Functions: A fancy word for exponent is logarithm (log).

is the same as _________________

Log functions are the ____________________ of exponential functions.

Log Form:

Exponential Form:

23 = 8

Notice the spiral effect: If a log function does not have a base, it is considered to be the common log. It has a base of 10.

Exercise #2: Rewrite the following in exponential form.

(a)

(b)

(c)

(d)

Exercise 3: Rewrite the following in log form. (a) 42 = 16

(b) a3 = 64

(c) cd = 7

(d) 8-1/2 = b

Exercise #4: Evaluate the following logarithms. If needed, write an equivalent exponential equation.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

What do you notice about examples (g) ? (i)?

Exercise #5: Solving basic log equations. Solve each for x. If necessary round to the nearest hundredth.

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)

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