Download presentation

Presentation is loading. Please wait.

Published byClaire Franklin Modified about 1 year ago

1
22. $5,000e(0.069)(5) = $7,059.95 23. $20,000e(0.0375)(2) = $21,557.68 24. $2,000e(0.051)(3) = $2,330.65 25. $950e(0.06)(10) = $1,731.01 = /2 = = 1/ = 81 30. 3y = = x e4 = x ey = 9 34. e1/2 = x log9 81 = log1/4 1/64 = 3 37. log = log64 8 = ½ log1/12 1/144 = 2 40. log9 1/81 = ln 2 = x 42. ln y = ln ½ = x

2
**7.4 – Properties of Logarithms**

3
Simplify x2 x4 Simplify x5 ÷ x2 Simplify (x2)3

4
If x = logb m and y = logb n, what is logb mn?

5
**m n logb mn = logb m + logb n logb = logb m – logb n**

Properties of Logarithms… m > 0 n > 0 b≠ 1 Product Property logb mn = logb m + logb n Quotient Property m logb = logb m – logb n n Power Property logb mn = n logb m

6
**Part 1: Expanding Logarithms**

7
4x Expand log y

8
x4 Expand log 729

9
Expand log m2n5

10
Expand log3 (2x)2

11
a2 b3 Expand log c4

12
Homework Worksheet questions 44 – 55

13
**Part 2: Condensing Logarithms**

14
**Properties of Logarithms…**

Product Property Quotient Property Power Property

15
**Write log4 32 - log4 2 as a single logarithm**

16
**Write 6 log2 x + 5 log2 y as a single logarithm**

17
Condense log 8 – 2 log 6 + log 3

18
**Condense log3 4 – log3 y – log38x**

19
**Part 3: Change of Base Formula**

20
**logc m logb m = logc b Change of Base Formula…**

For any positive numbers m, b, c, with b ≠ 1 and c ≠ 1: logc m logb m = logc b

21
**Use the change of base formula to solve log81 27**

22
**Use the change of base formula to solve log5 36**

23
**Use the change of base formula to solve log8 32**

24
**Use the change of base formula to solve log4 18**

25
Homework Worksheet questions 56 – 73

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google