Unit 7 Review (Exponential and Logarithmic Functions)

Front

Simplify the expression x(3x)²

Back

9x³

Front

What type of function describes exponential growth?

Back

Exponential Growth

Front

If Emily spends $7,400 on furniture with 9.5% interest compounded quarterly, what exponential equation can be used to find how much she will pay after 8 years?

Back

A = 7400(1 + 0.095/4)^(4*8)

Front

What is the base of the common logarithm?

Back

10

Front

If 200 mg of ibuprofen breaks down by 30% each hour, how much will be left after 3 hours?

Back

68.6 mg

Front

Define an exponential function.

Back

A function of the form f(x) = a * b^x, where a > 0, b > 0, and b ≠ 1.

Front

What is the natural logarithm base?

Back

e (approximately 2.718)

Front

What is the formula for compound interest?

Back

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

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

How do you convert an exponential equation to a logarithmic equation?

Back

If b^y = x, then log_b(x) = y.