Graphing Logarithms + Review

Front

What is the transformation of the graph of y=ln(x) to obtain y=ln(x+7)?

Back

Horizontal translation 7 units to the left.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).

Front

What is the inverse of the logarithmic function y=log_b(x)?

Back

The inverse is the exponential function x=b^y.

Front

Back

x = 1.21.

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a base must be raised to produce a given number.

Front

What is the relationship between logarithms and exponents?

Back

Front

Back

x = 52.

Front

What is the domain of the function y=ln(x)?

Back

The domain is x > 0.

Front

What does the graph of a logarithmic function look like?

Back

It increases slowly and approaches the vertical axis (x=0) but never touches it.

Front

What is the effect of a vertical stretch on the graph of a logarithmic function?

Back

It makes the graph steeper.