Converting and Solving Logarithms

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number. For example, log_b(a) = c means b^c = a.

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is log_3(9)?

Back

2

Front

What is log_2(16)?

Back

4

Front

What is log_25(5)?

Back

1/2

Front

What is log_16(8)?

Back

3/4

Front

What is log(1000)?

Back

3

Front

If log_b(a) = c, what does this imply about a, b, and c?

Back

It implies that b raised to the power of c equals a (b^c = a).

Front

What is the value of log_10(100)?

Back

2

Front

What is the value of log_10(1)?

Back

0