destiny78102 destiny78102
  • 02-11-2020
  • Mathematics
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What is ?e^2x-5e^x=6

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jcherry99
jcherry99 jcherry99
  • 02-11-2020

Answer:

Step-by-step explanation:

Let e^x = y

y^2 - 5y = 6             Subtract 6 from both sides

y^2 - 5y - 6 = 0       Factor

(y - 6)(y + 1) = 0

y - 6 = 0

y = 6

e^x = 6

ln e^x = ln 6

x * ln (e) = ln(6)       ln(e) = 1

x = ln(6)

x = 1.79176

y + 1 = 0

e^x = - 1     Can't be done. No power will give - 1

y = - 1

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