Math 4 Unit 3 Review - Logarithmic Functions

Front

Expand log_b(x/y)

Back

log_b(x) - log_b(y)

Front

Solve: log_2(x^2 - 6) = log_2(2x + 2)

Back

x = 4

Front

Write in exponential form: log_3(6561) = 8

Back

3^8 = 6561

Front

Expand log_6(5x^3/y)

Back

log_6(5) + 3log_6(x) - log_6(y)

Front

Solve: 2^x = 4^(x + 1)

Back

x = -2

Front

Define 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) = log_k(a) / log_k(b) for any base k.

Front

Expand log_b(mn)

Back

log_b(m) + log_b(n)

Front

What is the inverse relationship between exponentials and logarithms?

Back

If b^y = x, then log_b(x) = y.

Front

Expand log_b(m/n)

Back

log_b(m) - log_b(n)