Practice with logs

Front

What is the product rule of logarithms?

Back

The product rule states that log_b(mn) = log_b(m) + log_b(n), where b is the base of the logarithm.

Front

What is the quotient rule of logarithms?

Back

The quotient rule states that log_b(m/n) = log_b(m) - log_b(n), where b is the base of the logarithm.

Front

What is the power rule of logarithms?

Back

The power rule states that log_b(m^k) = k * log_b(m), where b is the base of the logarithm.

Front

How do you convert a logarithmic equation to exponential form?

Back

To convert log_b(a) = c to exponential form, rewrite it as b^c = a.

Tags

CCSS.HSF.BF.B.5

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. For example, log_b(a) = c means b^c = a.

Tags

CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

Back

The change of base formula states that log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

What is the value of log_10(100)?

Back

log_10(100) = 2, because 10^2 = 100.

Tags

CCSS.HSF.BF.B.5

Front

What is the value of log_2(8)?

Back

log_2(8) = 3, because 2^3 = 8.

Tags

CCSS.HSF.BF.B.5

Front

How do you simplify log(xy^2)?

Back

log(xy^2) = log(x) + 2*log(y) using the product and power rules.

Front

What is the value of log_5(25)?

Back

log_5(25) = 2, because 5^2 = 25.