TODAY IN ALGEBRA 2.0…

STATs to 7.1-7.4 Quiz

REVIEW: Solutions to 7.1-7.4 Quiz

Learning Target: 7.5 You will use properties of logarithms to rewrite logarithmic expressions

Independent Practice

7.5 PROPERTIES OF LOGSPRODUCT PROPERTY QUOTIENT PROPERTY POWER PROPERTY

Example:1.

2.

𝑙𝑜𝑔𝑏𝑛+¿Example:1.

2.

𝑙𝑜𝑔𝑏𝑛−

¿ 𝒍𝒐𝒈𝟔𝟑− 𝒍𝒐𝒈𝟔𝟕

¿ 𝒍𝒐𝒈𝟐𝟒𝒙

Example:1.

2.

¿𝟐 𝒍𝒐𝒈𝟖𝟕

¿ 𝒍𝒐𝒈𝟐𝟒𝒙

EXAMPLE: USE PROPERTIES OF LOGARITHMS

Use and to evaluate the logarithm.

1. 2.

3.

PRACTICE: USE PROPERTIES OF LOGARITHMS

Use and to evaluate the logarithm.

1. 2.

3. 4.

EXAMPLE: USE PROPERTIES OF LOGARITHMS

Expand or condense the following logarithms:1. 2.

PRACTICE: USE PROPERTIES OF LOGARITHMS

Expand or condense the following logarithms:1. 2.

7.5 PROPERTIES OF LOGS

CHANGE OF BASE FORMULA:

USING NATURAL LOG:

𝑙𝑜𝑔𝑐𝑎¿𝑙𝑜𝑔𝑏𝑎𝑙𝑜𝑔𝑏𝑐

𝑙𝑜𝑔𝑐𝑎¿𝑙𝑛𝑎𝑙𝑛𝑐

EXAMPLE: USE CHANGE OF BASE FORMULA

Use the change of base formula to evaluate the logarithm.

1. 2.

3.

PRACTICE: USE CHANGE OF BASE FORMULA

Use the change of base formula to evaluate the logarithm.

1. 2.

3. 4.

HOMEWORK #6:

Pg. 510: 7-22, 33-38, 45-50

If finished, work on other assignments:

HW #1: Pg. 483: 28-30, 37, 38 Pg. 543: 27, 28

HW #2: Pg. 489: 1, 26, 30, 31, 33HW #3: Exponential Growth and Decay WSHW #4: Pg. 503: 3, 4, 6, 8-12, 17-27HW #5: Pg. 504: 28-36

Pg. 1016: 21-24