Free Printable Base e and Natural Logarithm

Worksheets

Base e and Natural Logarithm

Total questions: 20

Worksheet time: 12mins

Name

Class

Date

What is lne =?

What is e ^lnx= ?

Solve inequality Round to the nearest ten- thousand. In (4x-1)=2

(a)

Write an equivalent exponential or logarithmic equation.

e ¹⁹⁰³⁴=x

Inx = 19034

Log_ex = 19034

e19034=x

Log₁₉₀₃₄e=x

Evaluate each logarithm to the nearest thousand. In19152648

(a)

Solve each equation. e^4x=120

1.1968

1.1969

-1.1968

-1.1969

Evaluate each expression. e^{(-0.5567998x)}

0.5567998x

-0.5567988x

-0.55679989x

-0.5567998x

Evaluate each expression e^{ln(-9897.59130k)}

-9879.59130k

-9897.59230k

-9897.59130k

-9897.59131k

Write an equivalent exponential or logarithmic equation

e^5.89806=5.89808x

5.89806=ln5.89808x

5.89808=ln5.89806x

In5.89806x=5.89808

e5.89806=5.89808x

10.

Write an equivalent exponential or logarithmic equation

e ²= x+1

In(2)=x+1

2=ln(x-1)

2=ln(x+1)

2=e(x+1)

11.

Evaluate each logarithm to the nearest ten-thousandth

In 67 + In 103

8.8384

8.8393

8.8394

8.8294

12.

Slove each question or inequality In 5x+ln 3x>9

X < e^4 √15e over 15

X > e^4 √15e over 15

X > e^4 √15 over 15

X > e^5 √15e over 15

13.

Solve each equation or inequality. Round to four decimal places

9 + e^2x= 10

0.11

0.35

14.

Solve each equation or inequality. Round to four decimal places

In(x-6) = 1

8.6183

8.7182

8.7283

8.7183

15.

What are e^3x-4=32?

X = In(36) /3

X = 1.1946

X = 1.1945

X = In(35) / 3

X=ln (37)/3

16.

Solve 5e^3x-2+15= 35

1.13

1.29

1.12

1.14

1.11

17.

e^5-2p+2=4

P = 2.1544

P = 2.1535

P = 2.1434

P = 2.1534

18.

What are e^5x+6> 34?

X > In (28) / 5

X > 0.6663

X > In(28) / 6

X > 0.6664

19.

What are -3e^x+12< 8?

X > In(3 / 4)

X > In(4 / 3)

X > 0.2877

X > 0.2872

20.

Solve e^-3x+7≥ 15

X ≤ -In(3)

X ≤ -In(2)

X ≥ -In(2)

X ≥ -In(3)

Reset

Base e and Natural Logarithm

Total questions: 20

Worksheet time: 12mins

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