Exponential and Logarithmic Functions Test

Front

What does the term 'Principal' refer to in finance?

Back

The initial amount of money deposited or invested, before interest.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate, n is the number of times that interest is compounded per year, and t is the time in years.

Front

What is the relationship between exponential functions and logarithmic functions?

Back

Logarithmic functions are the inverse of exponential functions.

Front

Convert log₂32 = 5 to exponential form.

Back

2⁵ = 32.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

If a population is modeled by the equation P(t) = P₀(1 + r)^t, what does P₀ represent?

Back

P₀ represents the initial population size.

Front

What does a positive growth rate indicate in a population model?

Back

It indicates that the population is increasing.

Front

What is the value of log₁₀100?

Back

2, because 10² = 100.

Front

How do you express log₆48 using the change of base formula?

Back

log₆48 = log(48) / log(6).

Front

What does the term 'exponential growth' mean?

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.