Properties of Logarithms Lesson Slides: 6 Slides (Grade 11)

6 Slides • 8 Questions

1

Properties of Logarithms

2

Logarithms and Exponents are inverses. So their properties will be related.

3

4

More:

5

6

Change of Base Formula

7

Multiple Choice

Condense into a single logarithm. Condense if possible. $\log\ 25\ +\ \log\ 4$

1

$\log\ 29$

2

$\log\ 100$

3

$\log\ 21$

4

Cannot be condensed

8

Fill in the Blanks

Evaluate using properties of logarithms (no calculator): $\log_5100\ -\ 2\log_52$

9

Fill in the Blanks

Evaluate using properties of logarithms (no calculator): $\log_64\ +\ \log_654$

10

Multiple Choice

Condense: $3\ln x\ +\ 8\ln y$

1

$\ln\left(\frac{x^3}{y^8}\right)$

2

$\ln\left(x^3y^8\right)$

3

$24\ln\left(xy\right)$

4

$11\ln\left(xy\right)$

11

Multiple Choice

The common logarithm has what base?

1

10

2

0

3

e

4

-e

12

Multiple Choice

Evaluate: log₈8

1

8

2

-8

3

1

4

0

13

Multiple Choice

Simplify.

10^log125

1

125

2

12.5

3

1250

4

log125

14

Multiple Choice

Express as a single logarithm.

Log₆9 + Log₆24

1

Log₆216 = 3

2

Log₆33 ≈ 1.95

3

Log₆(8/3) ≈ 1.16

4

Log₆216 = 36

Properties of Logarithms

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