Question

e^(x) - 3e^(-x) - 2 = 0

Having a little trouble solving for x.

Answer 1

e^(x) - 3e^(-x)=2
Ln(e^(x) - 3e^(-x))=Ln2
Ln(e^(x))-3Ln(e^(-x))=Ln2
Ln(e^x/3e^(-x))=Ln2
Ln(e^2x/3)=Ln2
2xLn(1/3)=Ln2
continue

Answer 2

I'm getting x = ln(2) / 2ln(1/3) , which is wrong according to my book

Answer 3

thanks

Answer 4

e^(x) - 3e^(-x)=2
Ln(e^(x) - 3e^(-x))=Ln2
Ln(e^(x))-Ln(e^(-3x))=Ln2
Ln(e^x/e^(-3x))=Ln2
Ln(e^4x)=Ln2
4x=Ln2