Quiz about Logarithmic Functions and Properties

Question 1

The base of the natural log,
\ln x is:

Accepted Answer

e

Answer

10

Answer

5

Answer

100

Question 2

Convert the exponential expression into an equivalent logarithmic expression:

Accepted Answer

$$\log_37=x$$

Answer

$$\log_3x=7$$

Answer

$$\log_73=x$$

Answer

$$\log_x7=3$$

Question 3

Convert the exponential expression into an equivalent logarithmic expression:

Accepted Answer

$$\log_211=x-2$$

Answer

$$\log_2\left(x-2\right)=11$$

Answer

$$\log_{11}2=x-2$$

Answer

$$\log_{x-2}11=2$$

Question 4

Convert the exponential expression into an equivalent logarithmic expression:

Accepted Answer

$$\log_39=3x$$

Answer

$$\log_93=3x$$

Answer

$$\log_{3x}9=3$$

Answer

$$\log_93x=3$$

Question 5

Convert the logarithmic expression into an exponential expression:

Accepted Answer

$$3^7=4x$$

Answer

$$3^{4x}=7$$

Answer

$$\left(4x\right)^7=3$$

Answer

$$7^3=4x$$

Question 6

Use properties of the logarithms to match the expressions: If log(x) = log(y), then x=y

Accepted Answer

Equality Rule

Answer

Product Rule

Answer

Quotient Rule

Answer

Power Rule

Question 7

Graph the logarithmic function: $$y = \log(x-2)$$

Accepted Answer

The graph is a curve that passes through (3,0) and approaches the line $$x=2$$ asymptotically.

Answer

The graph is a straight line passing through the origin.

Answer

The graph is a parabola opening upwards.

Answer

The graph is a hyperbola.

Question 8

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 9

Write log_b(xy) as two logs

Accepted Answer

log_bx+log_by

Answer

log_bx-log_by

Answer

log_bx*log_by

Answer

log_bx/log_by

Question 10

Graph

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Logarithmic Functions and Properties

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics