6.6 Solving Exp & Log Equations with work

1

Mar 14­2:26 PM

6.6 Solving Exponential and Logarithmic Equations

Mar 14­2:35 PM

You can solve like a system and graph to find their intersection OR you can use the inverse to

solve.

­10 ­8 ­6 ­4 ­2 0 2 4 6 8 10

­10­9­8­7­6­5­4­3­2

12345678910

x

y 1) log both sides

2) Use properties to get x alone

3) check for extraneous solutions

6.6 Solving Exp & Log Equations with work

2

Mar 14­2:28 PM

Now we know how to solve like bases and unlike bases using the change of base formula.

like bases: unlike bases:

I logs!

Mar 14­2:33 PM

Practice: a) b)

CRF

6.6 Solving Exp & Log Equations with work

3

Mar 14­2:39 PM

Examples:1. 2.

Mar 14­2:41 PM

Practice: a. b.

6.6 Solving Exp & Log Equations with work

4

Mar 14­3:30 PM

An inequality is treated like an equal sign, but now there is a range of solutions rather than just one.

Mar 14­3:53 PM

HW: pg. 338:

A: 41, 43, 45, 55, 57, 61, 63, 71, 73, 75 ­ 80

B: 3, 11, 13, 15, 17, 31, 39, 41, 43, 45, 53, 55, 75 ­ 80

C: 1 ­ 17 (o), 21 ­ 53(o), 75 ­ 80

Answers:

76.y ­ 2 = ­2 ( x ­ 3)

78.y ­ 5 = 2 ( x ­ 2)

80. 4; y = x4 ­ 2x3 + x2 + x ­ 2