anhthule2664 anhthule2664
  • 19-01-2019
  • Mathematics
contestada

What is the exact value of the exponential equation 17+e7x=33 ?
b. x=ln16 /33
c. x=ln16 /7

Respuesta :

jimrgrant1 jimrgrant1
  • 19-01-2019

Answer:

c

Step-by-step explanation:

using the law of logarithms

log[tex]x^{n}[/tex] ⇔ nlogx

given 17 + [tex]e^{7x}[/tex] = 33 ( subtract 17 from both sides )

[tex]e^{7x}[/tex] = 16 ( take the ln of both sides )

ln[tex]e^{7x}[/tex] = ln16

7xlne = ln16 ← lne= 1

7x = ln16 ( divide both sides by 7 )

x = [tex]\frac{ln16}{7}[/tex] → c


Answer Link
dhiab
dhiab dhiab
  • 19-01-2019

Answer:

hello :

e^7x = 33 - 17

e^7x = 16

7x = ln16

x= ln16/7 .... ( answer : c )



Answer Link

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