Evaluate Logarithms

Front

Solve for x: log_x 243 = 5

Back

x = 3

Front

To evaluate a logarithm statement log_9 81, you think '9 to what power is 81'. True or False?

Back

True, and it's 2

Front

log_5 125 = ?

Back

3

Front

Evaluate the following logarithm: log_3(1/3)

Back

-1

Front

Evaluate log_b(b)

Back

1

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

If log_a b = c, what does this imply?

Back

a^c = b.

Front

What is the change of base formula for logarithms?

Back

log_a b = log_c b / log_c a for any base c.

Front

Evaluate log_10 1000.

Back

3 (because 10^3 = 1000).

Front

What is the value of log_2 32?

Back

5 (because 2^5 = 32).