Ln(12x-2)=4+ln(x+8)

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Solution for Ln(12x-2)=4+ln(x+8) equation:


Simplifying
Ln(12x + -2) = 4 + ln(x + 8)

Reorder the terms:
nL(-2 + 12x) = 4 + ln(x + 8)
(-2 * nL + 12x * nL) = 4 + ln(x + 8)
(-2nL + 12nxL) = 4 + ln(x + 8)

Reorder the terms:
-2nL + 12nxL = 4 + ln(8 + x)
-2nL + 12nxL = 4 + (8 * ln + x * ln)
-2nL + 12nxL = 4 + (8ln + lnx)

Solving
-2nL + 12nxL = 4 + 8ln + lnx

Solving for variable 'n'.

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

Add '-8ln' to each side of the equation.
-2nL + -8ln + 12nxL = 4 + 8ln + -8ln + lnx

Reorder the terms:
-8ln + -2nL + 12nxL = 4 + 8ln + -8ln + lnx

Combine like terms: 8ln + -8ln = 0
-8ln + -2nL + 12nxL = 4 + 0 + lnx
-8ln + -2nL + 12nxL = 4 + lnx

Add '-1lnx' to each side of the equation.
-8ln + -2nL + -1lnx + 12nxL = 4 + lnx + -1lnx

Reorder the terms:
-8ln + -1lnx + -2nL + 12nxL = 4 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln + -1lnx + -2nL + 12nxL = 4 + 0
-8ln + -1lnx + -2nL + 12nxL = 4

Reorder the terms:
-4 + -8ln + -1lnx + -2nL + 12nxL = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -8ln + -1lnx + -2nL + 12nxL = 0

The solution to this equation could not be determined.

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