john2146
john2146 john2146
  • 09-05-2021
  • Mathematics
contestada

In(3x2 - 1) = In(191)

Respuesta :

erinna erinna
  • 14-05-2021

Given:

The equation is:

[tex]\ln(3x^2-1)=\ln(191)[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\ln(3x^2-1)=\ln(191)[/tex]

On comparing both sides, we get

[tex]3x^2-1=191[/tex]

[tex]3x^2=191+1[/tex]

[tex]3x^2=192[/tex]

Divide both sides by 3.

[tex]x^2=\dfrac{192}{3}[/tex]

[tex]x^2=64[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{64}[/tex]

[tex]x=\pm 8[/tex]

Therefore, the solutions of the given equation are -8 and 8.

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