Question

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300 e^{2-3 x}=60

Answer 1

`300e^(2-3x) &=& 60 \\ e^(2 - 3x) &=& (1)/(5) \\ \ln(e^(2-3x)) &=& \ln((1)/(5)) \\ 2-3x &=& \ln((1)/(5)) \\ 3x &=& 2 - \ln((1)/(5)) \\ x &=& (2 - \ln((1)/(5)))/(3) \\ x \approx 1.20315`

Check :

`300e^(2-3(1.20315)) &=& 59.99927 \\ 59.99927 &\approx & 60`