# Exponential Functions Exercises

### Example 1

Evaluate *y* = 3* ^{x}* + 2

^{(x – 4)}– 2

^{(x – 2)}when

*x*= 4 without using a calculator.

### Example 2

Evaluate *y* = 100^{0.75x}(10^{1.5x – 3}) when *x* = 2 without using a calculator.

### Example 3

Solve for *x*:

*e ^{x}* =

*e*

^{(2x + 4)}

### Example 4

Solve for *x*:

3^{(3x + 1)} = 9^{x}

### Example 5

Solve for *x*:

256 = 4^{2}^{x}

### Example 6

Solve for *x* and round your answer to three decimal places:

9^{-5x}(9^{17x}) = 81

### Example 7

Solve for *x*:

150(2)^{2x} = 300

### Example 8

Solve for *x*:

### Example 9

Solve for *x*:

*e*^{4x} =* e*^{(9x – 4)}

### Example 10

Solve for *y*:

10* ^{xy}* = 100

^{(4xy – 2)}