LOGARITHMS TEST Wooten Part 1

Front

Condense: 5log₄x - log₄8

Back

log₄(x⁵/8)

Front

Rewrite log₂8 = 3 in exponential form

Back

2³ = 8

Front

Expand: log₈(6x³y)

Back

log₈6 + 3log₈x + log₈y

Front

Write in logarithmic form: 2⁻⁴ = 1/16

Back

log₂(1/16) = -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

What is the change of base formula?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the product rule of logarithms?

Back

logₐ(xy) = logₐx + logₐy.

Front

What is the quotient rule of logarithms?

Back

logₐ(x/y) = logₐx - logₐy.

Front

What is the power rule of logarithms?

Back

logₐ(x^n) = n * logₐx.

Front

Convert log₄16 = 2 to exponential form.

Back

4² = 16.