Logarithms Review

Front

What is the logarithmic form of the equation 3^4 = 81?

Back

log_3(81) = 4

Tags

CCSS.HSF.BF.B.5

Front

Evaluate log_2(8).

Back

3

Front

What are logarithmic functions the inverse of?

Back

Exponential functions.

Tags

CCSS.HSF-BF.B.4A

Front

Evaluate log_3(3^2).

Back

2

Front

Describe the transformation of the function f(x) = 2log(x) - 1.

Back

Stretched by a factor of 2, down 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.

Tags

CCSS.HSF.BF.B.5

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 product rule for logarithms?

Back

log_b(mn) = log_b(m) + log_b(n).

Front

What is the quotient rule for logarithms?

Back

log_b(m/n) = log_b(m) - log_b(n).

Front

What is the power rule for logarithms?

Back

log_b(m^p) = p * log_b(m).