Math 102 Chapter 6 Test Review

Front

Back

x=5

Front

Find the inverse of f(x) = 1/4x - 7

Back

f^{-1}(x) = 4x + 28

Front

Back

x=3.5

Front

Back

3\log x + 7\log y

Front

Solve using the properties: log_5(x) - log_5(2) = log_5(15)

Back

x=30

Front

Definition of an Exponential Function

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

Definition of Logarithm

Back

The logarithm log_b(a) is the exponent to which the base b must be raised to produce the number a.

Front

Properties of Logarithms: Product Rule

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.

Front

Properties of Logarithms: Quotient Rule

Back

log_b(m/n) = log_b(m) - log_b(n) for any positive m and n.

Front

Properties of Logarithms: Power Rule

Back

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