9.6B - Logarithmic Notation Day 2 Lesson Slides: 7 Slides

7 Slides • 14 Questions

1

9.6B - Logarithmic Notation Day 2

2

Write in log form.

$4^2=16$

$6^{-2}=\frac{1}{36}$

3

Multiple Choice

Rewrite in logarithmic form:

3⁴ = 81

1

log₃4 = 81

2

log₈₁3 = 4

3

log₃81 = 4

4

log₄81 = 3

4

Multiple Choice

Rewrite in logarithmic form:

(5+y)^3x = 125

1

log _5+y 125 = 3x

2

log_3x125 = 5+y

3

log _5+y 3x =125

4

log₁₂₅ 3x = 5+y

5

Write in exponential form

$\log_5125=3$

$\log_7\left(\frac{1}{49}\right)=-2$

6

Multiple Choice

Rewrite in exponential form:

log₆36 = 2

1

2⁶=36

2

6²=36

3

36²=6

4

36⁶=2

7

Multiple Choice

Rewrite in exponential form:

log₂ 0.25 = -2

1

-2²= 0.25

2

-2^0.25= 2

3

2^-2= 0.25

4

No correct answer

8

Multiple Choice

Rewrite in exponential form:
.

\log_{\left(x+3\right)}y=4

1

$\left(x+3\right)^y=4$

2

$\left(x+3\right)^4=y$

3

$x^4=y$

4

$y^4=x+3$

9

Evaluating Logs

$\log_4256$ $\log_2\left(\frac{1}{64}\right)$ $\log_3-9$

10

Multiple Choice

log₃81 =

1

2

3

4

5

11

Multiple Choice

log₄1 =

1

0

2

1

3

4

DNE

12

Multiple Choice

Evaluate.
log₆(¹/36)

1

2

¹/2

3

-¹/2

4

-2

13

Two Very Important Bases:

14

Fill in the Blanks

Round to the nearest thousandth (3 decimal places).

log(15.89)

Type answer...

15

Fill in the Blanks

Round to the nearest thousandth.

ln(3)

Type answer...

16

Fill in the Blanks

Round to the nearest hundredth (2 decimal places).

\log_325

Type answer...

17

Recall: exponents and logs are inverse functions; they cancel each other's actions.
Simplify:
$\log_33^{5x}$

$\log_77^{5x^2+2x}$

18

Fill in the Blanks

Simplify

\log_{18}18^{2y+6}

Type answer...

19

Fill in the Blanks

Simplify

\log10^{3x}

Type answer...

20

Fill in the Blanks

Simplify

\ln e^{12x^2+18}

Type answer...

21

Last one...

Simplify: $\log_464^{2x}$

9.6B - Logarithmic Notation Day 2

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