# a. Use the definition of logarithm to show that log b b x = x for every real number x . b. Use the definition of logarithm to show that b log b x = x for every positive real number x . c. By the result of exercise 28 in Section 7.3. if f : X → Y and g : Y → X are functions and g ∘ f = I X and f ∘ g = I Y , then f and g are inverse functions. Use this result to show that log b and exp b , (the exponential function with base b) are inverse functions.

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

#### Solutions

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Section
Chapter 11.4, Problem 10ES
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