Explanation Procedure used: To solve an exponential equation in the form of b x = b y : 1. If the given equation is not in the form of b x = b y , then rewrite it in the above form. 2. For solving x , if b x = b y , b > 0 and b ≠ 1 then x = y where x and y are real numbers. Calculation: The given equation is 3 4 − x = 1 27 . It is observed that the given equation is not in the form of b x = b y . So, rewrite the equation as follows. 3 4 − x = 1 27 3 4 − x = 1 3 ⋅ 3 ⋅ 3 3 4 − x = 1 3 3 3 4 − x = 3 − 3 Raise the power of 3 by –4 on both sides as follows

Mylab Math With Pearson Etext -- Standalone Access Card -- For College Mathematics For Trades And Technologies (10th Edition) (my Math Lab)

10th Edition

ISBN: 9780134880402

Author: Hobbs, Margie; Cleaves, Cheryl

Publisher: PEARSON

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Chapter 16, Problem 14RE

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To solve: The equation 34−x=127.

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Chapter 16 Solutions

Mylab Math With Pearson Etext -- Standalone Access Card -- For College Mathematics For Trades And Technologies (10th Edition) (my Math Lab)

Ch. 16.1 - Prob. 1LC Ch. 16.1 - Prob. 1E Ch. 16.1 - Prob. 2E Ch. 16.1 - Prob. 3E Ch. 16.1 - Prob. 4E Ch. 16.1 - Prob. 5E Ch. 16.1 - Prob. 6E Ch. 16.1 - Prob. 7E Ch. 16.1 - Prob. 8E Ch. 16.1 - Prob. 9E

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The equation 3 4 − x = 1 27 .

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To solve: The equation 34−x=127.

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Chapter 16 Solutions