armon6480 armon6480
  • 15-01-2020
  • Mathematics
contestada

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.
e^Inx^2 - 9 = 0

Respuesta :

lisboa lisboa
  • 15-01-2020

Answer:

x=3 , x=-3

Step-by-step explanation:

[tex]e^{lnx^2} -9= 0[/tex]

Add 9 on both sides

[tex]e^{lnx^2}=9[/tex]

To remove base 'e' we take ln on both sides

[tex]ln e^{lnx^2}=ln9[/tex]

[tex]lnx^2=ln(9)[/tex]

Both sides have ln , so we make the terms equal

[tex]x^2=9[/tex]

Take square root on both sides

[tex]x=+-3[/tex]

x=3 , x=-3

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