Solve equation for x: a) `ln(x^2-1)=3` 

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Math

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lfryerda's profile pic

Posted on

If you have more than one question you need to make separate posts.

To solve this equation, we need to change the equation from logarithmic to exponential form.
`ln(x^2-1)=3`   
`x^2-1=e^3`   move 1 to other side
`x^2=1+e^3`   take square roots
`x=+-sqrt{1+e^3}`
For both potential solutions, when we substitute back into the original equation, we get valid solutions.
The solutions of the equation are `x=+-sqrt{1+e^3}` .

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