Properties of Natural Logs

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

• x = 12.91
• x = 4.02
• x = 3.35
• x = 1.83

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Tags

CCSS.HSF.BF.B.5

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

• 1.13
• 1.29
• 1.10
• 0.87

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Which of the following is the value of x given;
e^(x+6) = 12

• x = ln 6
• x = -6 + ln12
• x = ln72
• x = ln(-2)

Tags

CCSS.HSF.BF.B.5

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

• x = 2.315
• x = 0.681
• x = 2.964
• No Solution

The natural logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Solve for x:

ln(x)=2

• 2.234

• 3.14

• 7.389

• 2

Tags

CCSS.HSF.BF.B.5

ln e

• 1

• 0

• e

• e^e

Tags

CCSS.HSF.BF.B.5

log ( -10)

• 0

• 1

• -1

• No solution

Tags

CCSS.HSF.BF.B.5