Chapter 11

Section 11.1 – 11.7 Review

Chapter 11.1 – 11.4 Pretest

Evaluate each expression

1. (⅔) -4 = ___________ 2. (27) - ⅔ = __________

3. (3x2y3) -4 (6x6y9) = _________ 4. (x6y3) - ⅔ = _________

81

16

1

9

2 3

2

27x y 4 2

1

x y

Chapter 11.1 – 11.4 Pretest

Graph the exponential function.

5. y = 2 x + 1

-2 1.25

-1 1.5

0 2

1 3

2 5

X f(x)

Chapter 11.1 – 11.4 Pretest

6. Solve for the final balance on an account that has $2,500 invested at 6.5% that is compounded over 15 years (a) semiannually, (b) continuously.

(2)(15).065$2,500(1 )

2A

(.065)(15)$2,500A e

A = $6,525.92

A = $6,627.91

Chapter 11.1 – 11.4 Pretest

Write the equation in exponential form.

7. Log3 243 = 5 _________ 8. log2 1/256 = - 8 ________52433

8 12

256

Chapter 11.1 – 11.4 Pretest

Write in logarithmic form.

7log 16807 575 = 16807 ___________ 125⅓ = 5 _____________ 125

1log 5

3

Chapter 11.1 – 11.4 Pretest

Solve each equation.

logx 1024 = 5 x = _____ 4

log ½ x = - 8 x = ______ 256

log4 3 + log4 81= log4 x x = ________ 243

3 log6 8 - ⅓log 6 8 = log6 x x = _______ 256

Chapter 11.1 – 11.4 Pretest

log2 x = ⅓log2 729 x = _______ 9

log13 (x + 5) + log13 (x - 5) = 2 x = _______ ±√194