Logs and Exponentials Test Review

• x = e³

• x = e^x

• 3 = e^x

• 3 = e^-3

• x = 20.0855

• x = 0.0498

• x = 3

• x = 0.3333

• x = 1.6487

• x = -1.6487

• x = 1/2

• x = 2

• x = e^-4

• x = e⁴

• 4 = e^x

• 1/4 = e^-4

• x = 0.0183

• x = 1.0183

• x = 1/4

• x = -4

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

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

When would we use this formula? A = Pe ^rt

• interest increases by fixed amount
• compound interest 
• compound continuously 
• decreases by fixed percent

Write this Base "e" function into a Natural Log expression:

e³ = 5x

• ln(3) = 5x

• ln(5x) = 3

• log_e (5x) = 3

• ln (3) = e