Solving Exponential Equations with Base E

Solve for x:
5 e^6x+3 = 0.1

• -1.152

• 0.232

• -3.077

• -0.854

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)

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

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

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

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

Solve the following equation.  Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

• x = 2.20

• x = 1.68

• x = -5.00

• x = -4.97

• A
• B
• C
• D