Logarithmic and Exponential Functions

Evaluate log_2(8).

• 4

• 6

• 3

• 2

Convert the logarithmic expression log_10(100) to exponential form.

• 10^0 = 1

• 10^2 = 100

• 10^3 = 1000

• 10^1 = 10

If log_b(27) = 3, what is the value of b?

• 4

• 9

• 6

• 3

Evaluate log_5(25).

• 3

• 2

• 1

• 4

Convert the expression 3^x = 81 to logarithmic form.

• log_3(3) = x

• log_3(81) = x

• log_3(27) = x

• log_3(9) = x

If log_3(x) = 4, what is the value of x?

• 100

• 27

• 81

• 64

Evaluate log_10(0.01).

• -1

• 1

• -2

• 0

Convert log_4(16) to exponential form.

• 16^1 = 16

• 2^4 = 16

• 4^3 = 64

• 4^2 = 16

Analyze the growth model: A(t) = A_0 * e^(kt). What does k represent?

• k represents the time variable.

• k represents the initial amount.

• k represents the decay rate constant.

• k represents the growth rate constant.

Evaluate log_7(49) + log_7(7).

• 2

• 5

• 4

• 3