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4+5e ^{-x}=9
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first subtract 4 from both sides
then divide both sides by 5
you should get : \[e ^{-x}=1\]
\[\large 4+5e^{-x}=9\] \[\large 5e^{-x}=9-4\] \[\large 5e^{-x}=5\] \[\large e^{-x}=\frac{5}{5}\] \[\large e^{-x}=1\] \[\large \frac{1}{e^{x}}=1\] \[\large 1=1*e^{x}\] \[\large 1=e^{x}\] \[\large \ln(1)=x\] \[\large 0=x\] \[\large x=0\]
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