CA Final Exam Review 2

Find the vertical asymptote of the function f(x) = ln(x) - 8 .

• x = 0

• x = -8

• x = 8

• x = -1

What is the domain of the function f(x) = ln(x) - 8 using interval notation?

• (-∞, 0)

• (0, ∞)

• (-∞, ∞)

• [0, ∞)

What is the range of the function f(x) = log_(1/5) x using interval notation?

• (-∞, ∞)

• [0, ∞)

• (-5, 5)

• (-∞, 0)

Write the expression log(a^b) as a sum or difference of logarithms.

• b * log a

• log a + log b

• log a - log b

• log a / log b

What is the base of the logarithm in the function f(x) = log_(1/5) x ?

• 5

• 1/5

• 10

• e

What is the expanded form of log(a^2 * b) ?

• 2log a + log b

• log a + 2log b

• log a - log b

• 2log a - log b

What is the expanded form of log(a^3 / b^2)?

• 3log a - 2log b

• 2log a - 3log b

• log a + log b

• 3log a + 2log b

Use the like bases property to solve the equation (1/3)^(x-9) = 3^(2x+1). What is the value of x?

• 5

• 7

• 9

• 11

What is the result of (1/3)^(x-9) when x = 9?

• 1

• 3

• 1/3

• 0

What is the correct form of the equation b^c = a written as a log?

• log_b(a) = c

• log_a(b) = c

• log_c(a) = b

• log_b(c) = a