PreCalculus - Chapter 3 Review (Logs)

Front

Rewrite in exponential form: ln(2) = x

Back

e^x = 2

Front

Evaluate the following logarithm: log_8(√8)

Back

1/2

Front

Evaluate: ln(1/e)

Back

-1

Front

Solve: log_2(x) + log_2(x + 5) = log_2(3x + 8)

Back

x = 2

Front

Evaluate the following logarithm: log_4(2)

Back

1/2

Front

Define 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) = log_k(a) / log_k(b) for any base k.

Front

What is the natural logarithm?

Back

The natural logarithm is the logarithm to the base e, denoted as ln(x).

Front

What is the value of log_10(10)?

Back

1

Front

What is the value of log_b(1)?

Back

0 for any base b > 0.