Exponents and Logarithms

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

What does the a in y=a(1+r)ⁿ represent?

Back

Initial Amount

Front

Solve for x: 5^x = 17

Back

x = log₅17

Front

Rewrite the exponential equation into its logarithmic equation: x⁶=64

Back

log₆64=x

Front

How do you properly read log₁₀100=2?

Back

log base 10 of 100 is equal to 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 change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the product rule for logarithms?

Back

logₐ(xy) = logₐx + logₐy.

Front

What is the quotient rule for logarithms?

Back

logₐ(x/y) = logₐx - logₐy.

Front

What is the power rule for logarithms?

Back

logₐ(x^n) = n * logₐx.