Logarithm Review

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Solve the equation: log₄16 = ?

Back

2

Front

Write logₗ(x/y) as two logs.

Back

logₗx - logₗy

Front

Solve the equation: log₃(9) = ?

Back

2

Front

Convert log₁₀1000 = ? to exponential form.

Back

10³ = 1000

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

If logₐb = c, what is the equivalent exponential form?

Back

aᶜ = b

Front

What is the product property of logarithms?

Back

logₐ(xy) = logₐx + logₐy

Front

What is the quotient property of logarithms?

Back

logₐ(x/y) = logₐx - logₐy