destiny78102 destiny78102
  • 02-11-2020
  • Mathematics
contestada

What is ?e^2x-5e^x=6

Respuesta :

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

Answer Link

Otras preguntas

What is 5.207 as a fraction?
You are given an aqueous solution of NaCl. The simplest method for the separation of NaCl from the solution is (A) evaporation of the solution to dryness (B) c
Sentence using "preliminary"? Please use an easy one so I can actually draw it, too :PThanks in advance :)
A definition for cyber bullying
4x^2-28x+49=5 solve the quadratic by completing the square
What is the percentage increase from 200 to 280
How do I make a formula for a line if they only give me the intercept and the slope
The volume of a rectangular prism is 270 cubic centimeters. The height of the prism is 5 centimeters. What should the length and width of the prism be? Explain
What is sociocultural ?
need help with this question#20