Logarithm Review

Front

Write in exponential form: log₂32 = 5

Back

2⁵ = 32

Front

Rewrite logᵥn = a in exponential form.

Back

vⁱ = n

Front

Rewrite logᵦ(xⁿ)

Back

n logᵦx

Front

Evaluate log₄1

Back

0

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

What is the definition of a logarithm?

Back

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

Front

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

Back

aᶜ = b

Front

What is the change of base formula for logarithms?

Back

logᵦa = logₐx / logₐb

Front

Evaluate log₁₀10.

Back

1

Front

What is the product rule for logarithms?

Back

logᵦ(xy) = logᵦx + logᵦy