Logarithmic Functions Review

Front

Describe the transformation of the graph of f(x) = log x to f(x) = log(x + 21) - 50.

Back

The graph is translated left 21 units and down 50 units.

Front

Solve for x: log_x 1000 = 3.

Back

x = 10.

Front

What is the effect of adding a constant to the argument of a logarithmic function?

Back

It translates the graph horizontally.

Front

What is the effect of subtracting a constant from a logarithmic function?

Back

It translates the graph vertically.

Front

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a.

Front

Solve for x: log(3x) = 1.

Back

x = 10/3.

Front

What is the base of the common logarithm?

Back

10.

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718).

Front

If log_2 8 = x, what is the value of x?

Back

x = 3.

Front

What is the domain of the function f(x) = log(x)?

Back

x > 0.