Rewriting Logarithms

Front

What is the definition of a logarithm?

Back

Front

What is the relationship between logarithms and exponents?

Back

Front

Rewrite the logarithmic expression log₂ 0.25 in exponential form.

Back

2^-2 = 0.25.

Front

What is the change of base formula for logarithms?

Back

Front

Evaluate log₄ 40 using the change of base formula.

Back

Approximately 2.66.

Front

What does it mean if a function is experiencing exponential decay?

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, often represented by a base less than 1.

Front

Rewrite the exponential equation 3⁴ = 81 in logarithmic form.

Back

log₃ 81 = 4.

Front

What is the base of a logarithm?

Back

Front

How do you express log₂ 32 in exponential form?

Back

2⁵ = 32.

Front

What is the value of log₁₀ 100?

Back

2, because 10² = 100.