Unit 2 Lesson 2 Bellringer

Front

What is the logarithmic form of the exponential equation 3^x = 27?

Back

log_3(27) = x

Front

Rewrite in log form: 8^{-3} = \frac{1}{512}

Back

log_8(\frac{1}{512}) = -3

Front

Convert the exponential equation 5^2 = 25 to logarithmic form.

Back

log_5(25) = 2

Front

Write b^k = m into logarithmic form.

Back

log_b(m) = k

Front

Solve for x: 4x + 7 = 23

Back

x = 4

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_b(a) = \frac{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) for any positive m and n.

Front

What is the quotient rule for logarithms?

Back

log_b(\frac{m}{n}) = log_b(m) - log_b(n) for any positive m and n.

Front

What is the power rule for logarithms?

Back

log_b(m^k) = k * log_b(m) for any positive m and k.