M4 Unit 3 Logs Review

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the Range of this function?

• y> 0

• x> 0

• All Real Numbers

• y= 1

Which of the following statement about the graph of y=6(.5)^x is true?

• The equation of the asymptote is x=0.

• The coordinates of the y-intercept are (0,6)

• The graph includes the point (1.5, 2).

• The coordinates of the x-intercept are (.75, 0)

Which dashed line is an asymptote for the graph above?

• Line a

• Line b

• Line c

• Line d

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000
• log₁₀₀₀₀ 4 = 10
• log₁₀ 10000 = 4
• log₄ 10000 = 10

Evaluate log₈ 8

• 8
• -1
• 0
• 1

Write log_b(xy) as two logs

• log_bx+log_by
• log_bx-log_by
• log_bx*log_by
• log_bx/log_by

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by