4 2x-132 = 32

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Solve the following exponential equations. Give the exact solution

4 2x-132
= 32
Transcribed Image Text:4 2x-132 = 32
Expert Solution
Step 1

Any term with negative exponent is expressed in the denominator with positive exponent.

When bases are same exponents must also be same.

ifx" x"
then n m
Step 2

Represent 32 and 42x-1 as the exponent of 2.

32 2
42-1 2 221-1)
Step 3

Substitute in the given equation.

2x-1
= 32
2 2/21-1) 2
2 2
4x-2
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