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# Linking Exponents and Logarithms Exercises

### Example 1

What is the inverse function of y = log 4x ?

### Example 2

What is the inverse function of y = ln x?

### Example 3

What is the inverse function of y = 15x + 3?

### Example 4

What is the inverse function of y = 5x + 1?

### Example 5

Is y = 4x the inverse of logx 4 = y?

### Example 6

If f(x) = 2x + 2, what is f(f -1(x))?

### Example 7

What is the inverse function of y = log4 (3x + 2)?

### Example 8

What is the inverse function of y = 3x + 1?

### Example 9

Is f(x) = x2 a one-to-one function?

Solve for x:

y = 4x – 3

Solve for x:

y = 10ex

### Example 12

What is the inverse function of y = 7(x + 10)?

### Example 13

Is the following function one-to-one?

f(x) = x3 + 4

### Example 14

How should we restrict the domain of this function to make it one-to-one?

f(x) = 2x2 – 4