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1. Which of the following is the correct graph for x ≥ 3 or x ≤ -2? PowerPoint Presentation

1. Which of the following is the correct graph for x ≥ 3 or x ≤ -2?

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### 8.5 or x ≤ -2? Properties of logarithms

1. Which of the following is the correct graph for x ≥ 3 or x ≤ -2?

D

2. A scale on a map states that every ¼ of an inch represents 20 miles. If two cities are 3 ½ inches apart, how many miles are actually between the two cities?

A. 14 miles B. 20 miles C. 125 miles D. 230 miles E. 280 miles

E

A. 2 LW B. 2 (L+W) C. 2L +2W D. (L+2) (W+2) E. LW/2

3. Michelle wants to expand her flowerbed by increasing the length and width each by 2 ft. What will the new area of the flowerbed be, if L and W represent the original dimensions of the flowerbed's length and width?

D

Warm-Up 3/16/10 or x ≤ -2?

1) Write in exponential form.

2) Write in logarithmic form.

3) Simplify.

4) Simplify.

5) Simplify.

Agenda or x ≤ -2? March 2010

WEB 3/17/10

More Properties of Logs

- Warm-Up
- Notes: Properties of Logarithms
- HW

Thu 3/18/10

Solve Equations

Fri 3/19/10

More Solve Equations

Thursday, March 25

Mid-Semester Quiz

Chapters 6-8

MUST be made up if missed!

p. 493

Properties of Logarithms or x ≤ -2?

loga1 = 0

because a0 = 1

logaa = 1

because a1 = a

logaax = x

If loga x= loga y

then x =y

We’ll add more tomorrow!

Use a property of a log to evaluate the expression or x ≤ -2?

?

Can we rewrite 27 as 3 to some exponent?

Can we rewrite again?

What’s the answer?

What should we have done with the exponents we found originally?

Homework Problems– Pg 496: 14-29 ALL or x ≤ -2?

Use a property of logarithms to evaluate the expression

Use a calculator to evaluate the expression. Round to 3 decimal places. Directions are different from book!!!!!

Change-of-Base decimal places.

this allows us to change from any base to base 10 or base e and use the calculator

Evaluate. Round to four decimal places. decimal places.

= 1.7712

Be careful about the parenthesis in the calculator…

log(7) / log(3)

Evaluate. Round to four decimal places. decimal places.

= 0.2626

Homework Problems– Pg 496: 64-73 ALL decimal places.

Use a the change-of-base formula to evaluate the expression

Assignment decimal places.

Page 496 #14-29 ALL; # 64-73 ALL

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