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 the meaning or definition of fighting-gear??
The dimensions of a brick that weighs 25 N are 0.19 m × 0.07 m × 0.095 m. What pressure does the brick exert on the ground if it is resting on its largest face?
Which word is an interjection commonly used in advertising?
(X+12) 2 ÷ x2-144 ×-12. 12×-144
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
Horace read 160 pages in 4 hours. How many pages can he read in 6 hours??
What is the change in number of individuals in a population over time? A. population decrease B. population stability C. population growth D. population resista
other name for blood
other name for blood
Al washed a car in 6 minutes. Fred washes the same car in 8 min. How long dies it take Al and Fred to wash the car together?