Simplifying Logarithmic Expressions

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Evaluate log₇ 343.

Back

3

Front

Write 2³ = 8 in logarithmic form.

Back

log₂ 8 = 3

Front

Evaluate log₄ 16 by thinking: 4 to what power is 16?

Back

2

Front

True or False: log₈ 64 = 2.

Back

True

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

If logₐ b = c, what is the exponential form?

Back

a^c = b

Front

What is the change of base formula for logarithms?

Back

logₐ b = logₓ b / logₓ a for any base x.

Front

Evaluate log₁₀ 1000.

Back

3

Front

What is the product rule for logarithms?

Back

logₐ (xy) = logₐ x + logₐ y.