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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Solve each inequality for x.

56. (a) 1 < e3x−1 < 2

(b) 1 – 2 ln x < 3

(a)

To determine

To solve: The inequality, 1<e3x1<2 for x.

Explanation

The given inequality is 1<e3x1<2 .

Taking natural log for all terms, ln1<lne3x1<ln2 .

Use the law of logarithm, ln(ex)=x,x and simplify further as follows.

0<3x1<ln2

(b)

To determine

To solve: The inequality, 12lnx<3 for x.

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