Exponential and Logarithm

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

ln e⁵= 

• e⁵
• ln 5
• 5
• 5e

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Solve:  2^3x = 15

• 2.3
• -2.3
• 1.3
• -1.3

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

An Amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22
• 24.321
• 20.12
• 24

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23