# Solve Exponential Equations

Discussion in 'Other Pre-University Math' started by nycmathguy, Oct 22, 2021.

1. ### nycmathguy

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Section 3.4
20, 32, 42

nycmathguy, Oct 22, 2021

2. ### MathLover1

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20. correct but second line is not needed

32.
500e^(-2x)=125

e^(-2x)=125/500

e^(-2x)=1/4

e^(-2x)=4^-2......4^-2=2^-4

ln(e^(-2x))=ln(2^-4)

(-2x)ln(e)=-4ln(2)..............ln(e)=1

-2x=-4ln(2)

x=-4ln(2)/-2

x=2ln(2)-> exact solution

x ≈ 1.38629 -> approximate solution

42. correct

MathLover1, Oct 22, 2021
nycmathguy likes this.

3. ### nycmathguy

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Well, 2/3 is not too bad. We start trigonometry next week in Chapter 4.

nycmathguy, Oct 23, 2021

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