Exponential & Logarithmic Functions

Rewrite log_pt = m in exponential form.

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

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

Evaluate.
3 log₂4

• 3
• 6
• 2
• 4

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Evaluate log₅  20 to the third decimal place

• 0.537
• 2.996
• 1.301
• 1.861

Find the value for x to the third decimal place: ln x = 5

• 148.413
• 13.591
• 100000
• 1.610

Write 2 log x  - log y as a single logarithm

• log x²  y
• log x²  y²
• log x²/y
• log (x / y)²

Solve log(x) + log(x+3) = 1

• 5

• 2, 5

• -5, 2

• 2