Logarithm Review

Front

Write in exponential form: log₂32 = 5

Back

2^5 = 32

Front

Rewrite logᵥn = a in exponential form.

Back

v^a = n

Front

Write logᵦ(x/y) as two logs.

Back

logᵦx - logᵦy

Front

Evaluate log₆36 = x

Back

x = 2

Front

Write logᵦ(xy) as two logs.

Back

logᵦx + logᵦy

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

logᵦa = logₖa / logₖb for any base k.

Front

What is the product property of logarithms?

Back

logᵦ(xy) = logᵦx + logᵦy.

Front

What is the quotient property of logarithms?

Back

logᵦ(x/y) = logᵦx - logᵦy.

Front

What is the power property of logarithms?

Back

logᵦ(x^p) = p * logᵦx.