Question

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

Answer 1

Given:

The equation is:

`\ln(3x^2-1)=\ln(191)`

To find:

The solution for the given equation.

Solution:

We have,

`\ln(3x^2-1)=\ln(191)`

On comparing both sides, we get

`3x^2-1=191`

`3x^2=191+1`

`3x^2=192`

Divide both sides by 3.

`x^2=(192)/(3)`

`x^2=64`

Taking square root on both sides, we get

`x=\pm √(64)`

`x=\pm 8`

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