Evaluating Logarithms

Front

What is the value of log_a a?

Back

1

Front

Write in logarithmic form: 27^{\frac{2}{3}}=9

Back

\log_{27}9=\frac{2}{3}

Front

What is the value of log 1000?

Back

3

Front

What is the value of log_2 16?

Back

4

Front

Write in exponential form: \log_3 \frac{1}{27}=-3

Back

3^{-3}=\frac{1}{27}

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.

Front

What is the change of base formula for logarithms?

Back

\log_b a = \frac{\log_k a}{\log_k b} for any base k.

Front

What is the value of log_10 100?

Back

2

Front

What is the relationship between logarithms and exponents?

Back

If b^y = x, then log_b x = y.

Front

What is the value of log_5 25?

Back

2