# Logarithms and Exponential Functions

# Exponential Functions Exercises

### Example 1

Evaluate exponential function *y* = 3^{x} + 2^{x – 4} – 2^{x – 2} for *x* = 4 without using a calculator

### Example 2

Evaluate exponential function *y* = 100^{0.75x}10^{1.5x – 3} for *x* = 2 without using a calculator

### Example 3

Evaluate exponential equation *e*^{x}*y* = *e*^{2x + 4} for *x* = 5 to three decimal places.

### Example 4

Solve for *x* in the exponential equation: 3^{2x + 1} = 9^{x}

### Example 5

Simplify the following equation: *y* = 16/(4^{x})

### Example 6

Solve for *x* in the exponential equation: 9^{-5x}9^{17x} = 100 to three decimal places.

### Example 7

Solve the exponential equation for *x* to three decimal places: 1500(1.73)^{2x} = 2500

### Example 8

Solve for *x* in the exponential equation:

### Example 9

Solve for *x* in the exponential equation: *e*^{4x} =* e*^{9x – 4}

### Example 10

Simplify the following equation: 10^{xy} = 100^{4xy – 2}