Unit 5 Test

Front

Use multiple log properties to write as a single log: log₂x - 5log₂y

Back

log₂(x/y⁵)

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Rewrite in exponential form: ln(2) = x

Back

eˣ = 2

Front

What is the range of the graph of y = log₃x?

Back

(0, ∞)

Front

Write the exponential equation as a logarithm: 6³ = 216

Back

log₆(216) = 3

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a given number.

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the product property of logarithms?

Back

logₐ(mn) = logₐm + logₐn.

Front

What is the quotient property of logarithms?

Back

logₐ(m/n) = logₐm - logₐn.

Front

What is the power property of logarithms?

Back

logₐ(m^n) = n * logₐm.