Quiz about Natural Logs Practice

Question 1

Rewrite e^x = 9 using a logarithm

Accepted Answer

ln 9 = x

Answer

ln x = 9

Answer

log_x e = 9

Answer

log₉ x = e

Question 2

What is the value of ln(e⁷)

Accepted Answer

7

Answer

2.718...

Answer

1

Answer

Does not exist

Question 3

Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3

Accepted Answer

x = 1.83

Answer

x = 12.91

Answer

x = 4.02

Answer

x = 3.35

Question 4

Rewrite in exponential form:
ln(2) = x

Accepted Answer

ex = 2

Answer

2x = 10

Answer

102 = x

Answer

e2 = x

Question 5

ln e5=

Accepted Answer

5

Answer

e5

Answer

ln 5

Answer

5e

Question 6

Solve the following equation for x. Round your solution to two decimal places.
ln3x + ln2x = 3

Accepted Answer

x = 1.83

Answer

x = 12.91

Answer

x = 4.02

Answer

x = 3.35

Question 7

The natural logarithm has what base?

Accepted Answer

e

Answer

10

Answer

0

Answer

-e

Question 8

ln e

Accepted Answer

1

Answer

0

Answer

e

Answer

ee

Question 9

ln (5x + 6) = 5

Accepted Answer

28.483

Answer

154.413

Answer

30.883

Answer

147.213

Question 10

Solve the following equation for x. Round your solution to two decimal places.

ln3+ ln2 = x

Accepted Answer

x = 1.79

Answer

x = 12.91

Answer

x = 4.02

Answer

x = 3.35

Question 11

Expand ln xy²z³

Accepted Answer

lnx + 2lny + 3lnz

Answer

6(lnx + lny - lnz)

Answer

lnx + 2lny - 3lnz

Answer

lnx + (1/2)lny + (1/3)lnz

Question 12

Log with a base "e" (log_e) is the same thing as...

Accepted Answer

Natural Logarithm (LN)

Answer

"e"

Answer

Common Logarithm (Log)

Answer

Natural Log, base "e"
LN_e

Question 13

Which of the following is the value of x given;
7e^(3x-5) = 49

Accepted Answer

x = 2.315

Answer

x = 0.681

Answer

x = 2.964

Answer

No Solution

Question 14

Evaluate.
log₇49 + log₂32 = ?

Accepted Answer

7

Answer

log981

Answer

log7

Answer

2

Question 15

Without a calculator, evaluate log₄1

Accepted Answer

0

Answer

1/4

Answer

-1

Answer

not possible

Question 16

What is the base in this log expression: log₇49 = 2

Accepted Answer

7

Answer

49

Answer

2

Answer

7492

Question 17

What is the base in this log expression: log 100 = 2

Accepted Answer

10

Answer

100

Answer

2

Answer

1002

Question 18

What is the base of this expression? ln x = y

Accepted Answer

e

Answer

x

Answer

y

Answer

abcdefghijklmnopqrstuvwxyz

Question 19

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 20

Solve for x

Accepted Answer

x = 1/4

Answer

x = 4

Answer

x = 3

Answer

x = 1/3

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