3.2-3.3 Logs: Extra Practice

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What is ln(56)?

Back

4.0254

Front

Solve for x: 5^x = 1.

Back

0

Front

Write the expression as a single logarithm: log_5 3 + log_5 6 + log_5 9.

Back

log_5 162

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

Front

If log_2 8 = x, what is the value of x?

Back

3, because 2^3 = 8.

Front

What is the value of log_10 100?

Back

2, because 10^2 = 100.

Front

What is the product rule for logarithms?

Back

log_a (xy) = log_a x + log_a y.