Precalc Quiz: Prep for the Test - Exp & Log Edition

Determine the graph

of y = log₃(x - 1) - 4

(consider transformations;

notice the scale on each axis)

• 
• 
• 
• 

Determine the domain & range

of y = log₃(x - 1) - 4

(consider transformations; recall what

can or can't be an input or output of log)

Domain: ​ (a)  

Range:​ (b)  

• D: (-1,∞)
• D: (0,∞)
• D: (-∞,∞)
• R: (1,∞)
• R: (-1,∞)
• D: (1,∞)
• R: (-∞,∞)
• R: (0,∞)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Match exponential & logarithmic form.

• 4^1/2 = 2

• log₂( ¹/₁₆ ) = -4

• 4² = 16

• log₂16 = 4

• 2^-4 = ¹/₁₆

• log₄16 = 2

• not true,
  no match.

• log₄2 = ¹/₂

• 2⁴ = 16

• log₂16 = 4

Rewrite in logarithmic form.

7³ = 343

Mathematical Equivalence

OFF

Evaluate log₄ 64

Simplify final answer; when no solution, type NS.

Evaluate log₃ 243

Simplify final answer; when no solution, type NS.