Ln(3x^2-14x-5)=1+ln(x^2-x-20)

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Solution for Ln(3x^2-14x-5)=1+ln(x^2-x-20) equation: 


Simplifying
Ln(3x2 + -14x + -5) = 1 + ln(x2 + -1x + -20)

Reorder the terms:
nL(-5 + -14x + 3x2) = 1 + ln(x2 + -1x + -20)
(-5 * nL + -14x * nL + 3x2 * nL) = 1 + ln(x2 + -1x + -20)
(-5nL + -14nxL + 3nx2L) = 1 + ln(x2 + -1x + -20)

Reorder the terms:
-5nL + -14nxL + 3nx2L = 1 + ln(-20 + -1x + x2)
-5nL + -14nxL + 3nx2L = 1 + (-20 * ln + -1x * ln + x2 * ln)
-5nL + -14nxL + 3nx2L = 1 + (-20ln + -1lnx + lnx2)

Solving
-5nL + -14nxL + 3nx2L = 1 + -20ln + -1lnx + lnx2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '20ln' to each side of the equation.
-5nL + -14nxL + 20ln + 3nx2L = 1 + -20ln + -1lnx + 20ln + lnx2

Reorder the terms:
20ln + -5nL + -14nxL + 3nx2L = 1 + -20ln + -1lnx + 20ln + lnx2

Reorder the terms:
20ln + -5nL + -14nxL + 3nx2L = 1 + -20ln + 20ln + -1lnx + lnx2

Combine like terms: -20ln + 20ln = 0
20ln + -5nL + -14nxL + 3nx2L = 1 + 0 + -1lnx + lnx2
20ln + -5nL + -14nxL + 3nx2L = 1 + -1lnx + lnx2

Add 'lnx' to each side of the equation.
20ln + -5nL + -14nxL + lnx + 3nx2L = 1 + -1lnx + lnx + lnx2

Reorder the terms:
20ln + lnx + -5nL + -14nxL + 3nx2L = 1 + -1lnx + lnx + lnx2

Combine like terms: -1lnx + lnx = 0
20ln + lnx + -5nL + -14nxL + 3nx2L = 1 + 0 + lnx2
20ln + lnx + -5nL + -14nxL + 3nx2L = 1 + lnx2

Add '-1lnx2' to each side of the equation.
20ln + lnx + -5nL + -14nxL + -1lnx2 + 3nx2L = 1 + lnx2 + -1lnx2

Reorder the terms:
20ln + lnx + -1lnx2 + -5nL + -14nxL + 3nx2L = 1 + lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
20ln + lnx + -1lnx2 + -5nL + -14nxL + 3nx2L = 1 + 0
20ln + lnx + -1lnx2 + -5nL + -14nxL + 3nx2L = 1

Reorder the terms:
-1 + 20ln + lnx + -1lnx2 + -5nL + -14nxL + 3nx2L = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 20ln + lnx + -1lnx2 + -5nL + -14nxL + 3nx2L = 0

The solution to this equation could not be determined.

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