Exponential and Logarithm Functions

Which of the following is a reflection in the x-axis of f(x) = log_a(x)?

• f(x) = log_(1/5)(x)

• f(x) = log_(1/2)(x)

• f(x) = log_a(x)

• f(x) = log_(1/a)(x)

What is the important property of the graph of f(x) = a^x for any value of a?

• f(x) < 0 for all values of a

• f(0) = 1 for all values of a

• f(1) = 0 for all values of a

• f(x) > 0 for all values of a

For the function f(x) = log_a(x) where a < 1, what is the value of f(1)?

• 0

• 3

• 1

• 2

Which of the following is a reflection in the y-axis of f(x) = a^x?

• f(x) = (1/2)^x

• f(x) = a^x

• f(x) = (1/a)^x

• f(x) = (1/5)^x

• x = 4

• x = 7

• x = 343.4

• x = 346

log_289 17 = 1/2

• 289^1/2 = 17

• 17^1/2 = 289

• 289^17 = 1/2

• 1/2^17 = 289

Solve for x:
e^2x = 11

• x = (LN 11)/2

• x = 2log_e11

• x = 2eLOG 11

• x = LN (11/2)

Solve for x:
4^2x + 1 = 17

• x = 1

• x = -1

• x = 2

• x = -2

• x = 1.8

• x = 5

• x = 3

• x = 11

Solve the following exponential equation.

• -15

• -3

• 7/4

• -8