Logarithmic Properties Quiz

Solve the logarithmic equation log(x) = 3.

• 10

• 100

• 10000

• 1000

Find the value of x in the equation log(2x) = log(8).

• 10

• 4

• 6

• 2

Determine the solution to the equation log(5x + 3) = 2.

• x = 97/5

• x = 10

• x = 15

• x = 20

Solve for x in the equation log(3x - 1) = log(27).

• x = 15

• x = 9

• x = 10

• x = 5

Apply the change of base formula to evaluate log base 4 of 16.

• 4

• 8

• 12

• 2

Calculate log base 3 of 81 using the change of base formula.

• 4

• 10

• 6

• 2

Find the value of log base 5 of 125 using the change of base formula.

• 2

• 6

• 4

• 3

Evaluate log base 2 of 32 using the change of base formula.

• 10

• 5

• 8

• 3

Graph the logarithmic function y = log(x).

• Graph the exponential function y = log(x)^2

• Graph the logarithmic function y = sin(x)

• Graph the linear function y = log(x)

• Graph the logarithmic function y = log(x) by plotting points for x and y and connecting them to form a curve.

Plot the graph of y = log(x + 2).

• Plot the graph by using the linear function y = x + 2 to calculate the corresponding points and then connecting them to form the graph.

• Plot the graph by choosing x values less than -2 to calculate corresponding y values using the logarithmic function.

• Plot the graph by identifying the horizontal asymptote at x = -2 and then choosing x values greater than -2 to calculate corresponding y values using the logarithmic function.

• Plot the graph by identifying the vertical asymptote at x = -2 and then choosing x values greater than -2 to calculate corresponding y values using the logarithmic function.