Unit 2 Post Test Review

Front

Solve for x: log_x 25 = 2

Back

x = 5

Front

Expand the following logarithm: log_2 5x

Back

log_2 5 + log_2 x

Front

What is the inverse of the points (1,3)(2,4)(6,8)?

Back

(3,1)(4,2)(8,6)

Front

Change to Logarithmic Form: 12^2 = 144

Back

log_12 144 = 2

Front

Write an equation that models the data shown: (3,6), (4,12), (5,24)

Back

y = 3 * 2^x

Front

Definition of a logarithm

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

Change of Base Formula for Logarithms

Back

log_b a = log_k a / log_k b for any base k.

Front

Properties of Logarithms: Product Rule

Back

log_b (xy) = log_b x + log_b y.

Front

Properties of Logarithms: Quotient Rule

Back

log_b (x/y) = log_b x - log_b y.

Front

Properties of Logarithms: Power Rule

Back

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