Solve each equation. See Examples 4–6. 4^(x-2) = 2^(3x+3)

Use the compound interest formulas A = P (1+ r/n)^nt and A =Pe^rt to solve exercises 53-56. Round answers to the nearest cent. Suppose that you have $12,000 to invest. Which investment yields the greater return over 3 years: 0.96% compounded monthly or 0.95% compounded continuously?

Graph each function. Give the domain and range. See Example 3. ƒ(x) = (1/3)^(-x+1)

Graph y= 2^x and x = 2^y in the same rectangular coordinate system.

Graph each function. Give the domain and range. See Example 3. ƒ(x) = -(1/3)^(x+2) - 1

Graph f(x) = 2^x and its inverse function in the same rectangular coordinate system.

Solve each equation. See Examples 4–6. (√2)^(x+4) = 4^x

Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(-1)