Properties of Logarithms

Front

Evaluate log₉(9)

Back

1

Front

Simplify 7^log₇(2x)

Back

2x

Front

Simplify 8^log₈(x)

Back

x

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log₃(81) = 4

Tags

CCSS.HSF.BF.B.5

Front

What is log₃(1)?

Back

0

Front

Define a logarithm.

Back

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

Tags

CCSS.HSF.BF.B.5

Front

What is the change of base formula for logarithms?

Back

logₐ(b) = logₓ(b) / logₓ(a) for any base x.

Front

What is the product property of logarithms?

Back

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

Front

What is the quotient property of logarithms?

Back

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

Front

What is the power property of logarithms?

Back

logₐ(m^p) = p * logₐ(m) for any positive m and p.