Exponential Models Involving Natural Base E

• exponential growth because r>0

• exponential growth because r<0

• exponential decay because r>0

• exponential decay because r<0

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

• 13

• 29

• 10

• 0.87

Solve for x:
5 e^6x+3 = 0.1

• -1.152

• 0.232

• -3.077

• -0.854

Solve for x:
e^x=7

• x=ln7

• x=ln⁷

• x=7^ln

• No solution

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