Introduction to Natural Logs

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

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

The natural logarithm has what base?

• 10
• 0
• e
• -e

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

ln e

• 1

• 0

• e

• e^e

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Rewrite in exponential form:
ln(2) = x

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

Expand ln xy²z³

• 6(lnx + lny - lnz)
• lnx + 2lny - 3lnz
• lnx + (1/2)lny + (1/3)lnz
• lnx + 2lny + 3lnz

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.
ln3x + ln2x = 3

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

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