6. Exponential & Logarithmic Functions

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

Solve each equation. See Examples 4–6. 4^x = 2

Solve each equation. (5/2)^x = 4/25

Solve each equation. See Examples 4–6. x^2/3 = 4

Solve each equation. x^5/2 = 32

Solve each equation. (1/e)^-x = (1/e²)^x+1

Solve each equation. See Examples 4–6. 1/27 = x^-3

Concept Check. If ƒ(x) = a^x and ƒ(3) = 27, determine each function value. ƒ(2)