4 2x-132 = 32

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.7: Decimals
Problem 1.200TI: Divide: 4.11(0.12) .
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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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