2.9 Evaluating Logs

Front

What is the definition of a logarithm?

Back

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

Tags

CCSS.HSF.BF.B.5

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^c = a, then log_b(a) = c.

Tags

CCSS.HSF.BF.B.5

Front

Evaluate log_10(100).

Back

2

Tags

CCSS.HSF.BF.B.5

Front

Rewrite the exponential equation 2^3 = 8 in logarithmic form.

Back

log_2(8) = 3

Tags

CCSS.HSF.BF.B.5

Front

Evaluate log_3(1/3).

Back

-1

Front

True or False: log_10(10) = 1.

Back

True

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

Rewrite log_3(81) = 4 in exponential form.

Back

3^4 = 81

Tags

CCSS.HSF.BF.B.5

Front

Evaluate log_2(8).

Back

3

Front

What is the value of log_10(1)?

Back

0