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Natural Logarithm

Lesson On Base E And Natural Logarithms

Lesson on Base e and Natural Logarithms

Lesson on Base e and Natural Logarithms

Presentation

•

Mathematics

•

11th Grade

•

Hard

Created by

Joseph Anderson

FREE Resource

12 Slides • 6 Questions

1

Base e and Natural Logarithms (4/5/22)

Mr. Suarez (Algebra 2)

2

EX #1: Solve the logarithm

3

EX #1: Solve the logarithm

ln(x) = 5

4

EX #1: Solve the logarithm

ln(x) = 5
e^ln(x)= e⁵

5

EX #1: Solve the logarithm

ln(x) = 5
e^ln(x)= e⁵
x = e⁵(Exact solution)

6

EX #1: Solve the logarithm

ln(x) = 5
e^ln(x)= e⁵
x = e⁵(Exact solution)
x = 148.4132 (Approximate solution)

7

Multiple Choice

Solve the following logarithm to find the exact answer.

$\ln\left(x\right)=3$

1

x = e³

2

x = e^x

3

3 = e^x

4

3 = e^-3

8

Multiple Choice

Solve the following logarithm to find the approximate answer.

Round to 4 decimal places.

$\ln\left(x\right)=3$

1

x = 20.0855

2

x = 0.0498

3

x = 3

4

x = 0.3333

9

Multiple Choice

Solve the following logarithm to find the exact answer.

$\ln\left(x\right)=\frac{1}{2}$

1

x = e^1/2

2

x = e^-2

3

1/2 = e^x

4

2 = e^-1/2

10

Multiple Choice

Solve the following logarithm to find the approximate answer.

Round to 4 decimal places.

$\ln\left(x\right)=\frac{1}{2}$

1

x = 1.6487

2

x = -1.6487

3

x = 1/2

4

x = 2

11

Multiple Choice

Solve the following logarithm to find the exact answer.

$\ln\left(x\right)=-4$

1

x = e^-4

2

x = e⁴

3

4 = e^x

4

1/4 = e^-4

12

Multiple Choice

Solve the following logarithm to find the approximate answer.

Round to 4 decimal places.

$\ln\left(x\right)=-4$

1

x = 0.0183

2

x = 1.0183

3

x = 1/4

4

x = -4

13

EX #2: Solve the logarithm

ln(x + 15) = 3

14

EX #2: Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³

15

EX #2: Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³
x + 15 = e³
-15 -15

16

EX #2: Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³
x + 15 = e³
_ -15 -15
x = e³ - 15

17

EX #2: Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³
x + 15 = e³
__-15 -15
x = e³ - 15
x = e³- 15(Exact solution)

18

EX #2: Solve the logarithm

ln(x + 15) = 3
e^{ln(x + 15)}= e³
x + 15 = e³
__-15 -15
x = e³ - 15
x = e³- 15(Exact solution)
x = 5.0855 (Approximate solution)

Base e and Natural Logarithms (4/5/22)

Mr. Suarez (Algebra 2)

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