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# c3 exp

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1. 2e^2x=e^x-2 show how to get this value please
2. Make the substitution and solve a quadratic equation.
3. 2e^2x=e^(x-2)

sorry but if that was the case i would of done it i wrote it wrong
4. Take ln of both sides to start off with.
5. (Original post by Secreay)
2e^2x=e^(x-2)

sorry but if that was the case i would of done it i wrote it wrong

Can you complete it?
6. (Original post by Secreay)
2e^2x=e^x-2 show how to get this value please
Is it 2e^(2x)=e^(x-2) or 2e^(2x)=(e^x)-2 or something else
7. (Original post by Secreay)
2e^2x=e^(x-2)

sorry but if that was the case i would of done it i wrote it wrong
Make the equation equal to zero and factorise .
8. If you don't like factorising quadratics you could go this way:

2e^(2x) = e^(x-2)
2 X e^x X e^x = e^x X e^-2
2 X e^x = e^-2
e^x = 1/2 e^-2
x = ln (1/2 e^-2)

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