Chapter 6 Test Review

• Vertical stretch of 3, down 9

• Vertical shrink of 3, left 9

• Vertical stretch of 3, left 9

• Horizontal stretch, down 9

Graph y = log₄(x)

Rewrite 3^x = 27 as a logarithm.

• log27 = 3

• log₃27 = x

• log₂₇3 = x

• log₂₇x = 3

What is the domain (x) and range (y) of y = log₆x?

• Domain: All real numbers

  Range: All real numbers

• Domain: x>0

  Range: All real numbers

• Domain: All real numbers

  Range: y>0

• Domain: x<0

  Range: y<0

Use the change-of-base formula to evaluate log₉48. Round to the nearest thousandth.

Solve log(x+1) = log(5x-10)

• x = -1/2

• x = 1/2

• x = 11/4

• x = 4/11

Expand log(4x/6)

Solve 7^x-3 = 4

• x = 4.404

• x = 3.712

• x = 1.404

• x = 0.712

Solve ln(x-12) = 5

• x = 17

• x = 148.413

• x = 136.413

• x = 160.413