# Linking Exponents and Logarithms Exercises

### Example 1

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

### Example 2

What is the inverse function of *y* = ln *x*?

### Example 3

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

### Example 4

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

### Example 5

Is *y* = 4* ^{x}* the inverse of log

*4 =*

_{x}*y*?

### Example 6

If *f*(*x*) = 2*x* + 2, what is *f*(*f*^{ -1}(*x*))?

### Example 7

What is the inverse function of *y *= log_{4} (3*x* + 2)?

### Example 8

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

### Example 9

Is *f*(*x*) = *x*^{2} a one-to-one function?

### Example 10

Solve for *x*:

*y* = 4* ^{x}* – 3

### Example 11

Solve for *x*:

*y *= 10*e ^{x}*

### Example 12

What is the inverse function of *y* = 7^{(x + 10)}?

### Example 13

Is the following function one-to-one?

*f*(*x*) = *x*^{3} + 4

### Example 14

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

*f*(*x*) = 2*x*^{2} – 4