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# Logarithms and Exponential Functions

Linking Exponents and Logarithms Exercises

# 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 (5xy + x)2 = x4

### Example 5

Is x-1 equivalent to

### Example 6

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

### Example 7

If the inverse of a function y = f(x) is y= g(x), what does f(g(x)) and g(f(x)) both equal?

### Example 8

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

### Example 9

What is the inverse function from the set {1,4; 3,10 ; 6,19}?

### Example 10

Is the following function one-to-one: x2?

### Example 11

What is the log form of the exponential function y = 4x – 3?

### Example 12

What is the log form of the exponential function y = 10ex?

### Example 13

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

### Example 14

Is the following function one-to-one: x3 + 4?

### Example 15

Which domains can this function be one-to-one in? 2x2 – 4

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