Properties of Natural and Common Logs

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

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

Rewrite in exponential form:
ln(2) = x

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

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

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

The natural logarithm has what base?

• 10
• 0
• e
• -e

ln e

• 1

• 0

• e

• e^e

ln (5x + 6) = 5

• 154.413

• 30.883

• 147.213

• 28.483

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

ln3+ ln2 = x

• x = 12.91

• x = 4.02

• x = 3.35

• x = 1.79