Logarithms Review

Front

Evaluate the following logarithm: log₃27

Back

3

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Solve for x: 3ˣ = 27

Back

3

Front

Solve the equation: log₃(1) = ?

Back

0

Front

Evaluate: log₃81

Back

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 does this mean?

Back

It means a^c = b.

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

Evaluate: log₃(3)

Back

1

Front

What is the product rule of logarithms?

Back

logₐ(xy) = logₐx + logₐy.