intro to logarithms

Front

Write 5² = 25 in logarithmic form

Back

log₅ 25 = 2

Front

Rewrite in exponential form: log(10,000)=4.

Back

10⁴ = 10,000

Front

Solve for x: log₄ x = 3

Back

x = 64

Front

Rewrite log₂8 = 3 in exponential form

Back

2³ = 8

Front

log₅25 = ?

Back

2

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

What is the base in a logarithmic expression?

Back

The base is the number that is raised to a power in a logarithmic expression.

Front

Convert log₃27 = x to exponential form.

Back

3^x = 27

Front

If log₁₀100 = 2, what does this mean?

Back

10² = 100

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.