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Using the Natural Logarithm to solve Quadratic Form Equations

Sometimes the quadratic equation is not easily seen. However, the equation below is solved by factoring quadratic equation in terms of another variable. To solve, we use u-substitution to solve for x. Turning an equation into the quadratic equation in terms of u is important to solving for x. Without the u-substitution it would not be possible to isolate the x variable on one side of the equation. Below is the sequence of steps required to solve for the given equation.


There are times when rewriting an equation into the quadratic form is the best method to solving for x.

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