Number E and Natural Logarithms

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Rewrite in exponential form:
ln(2) = x

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

What is the log form of a = e^y ?

• ln(a) = y
• ln(y) = a
• log(a) = y
• log(y) = a

The natural logarithm has what base?

• 10
• 0
• e
• -e

Solve the following equation.  Round your answer to two decimal places;
5 ln(x) = 7

• x = 4.06
• x = 2.04
• No solution
• None of the above

Solve the following equation for x.  Round your solution to two decimal places.
ln2x - ln41 = 2

• x = 0.36
• x = 151.48
• x = 41
• None of these are solutions

Solve for x:
e^2x = 11

• x = (LN 11)/2
• x = 2log_e11
• x = 2eLOG 11
• x = LN (11/2)

Simplify e^ln(x)

• 0
• 1
• x
• 8

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

Evaluate

• ln 8
• 2
• 4
• 8