(10lnx^2)-(lnx^18)=ln(6x+27)

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Solution for (10lnx^2)-(lnx^18)=ln(6x+27) equation: 


Simplifying
(10lnx2) + -1(lnx18) = ln(6x + 27)

Reorder the terms:
(10lnx2) + -1lnx18 = ln(27 + 6x)
(10lnx2) + -1lnx18 = (27 * ln + 6x * ln)
(10lnx2) + -1lnx18 = (27ln + 6lnx)

Solving
(10lnx2) + -1lnx18 = 27ln + 6lnx

Solving for variable 'l'.

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

Add '-27ln' to each side of the equation.
(10lnx2) + -27ln + -1lnx18 = 27ln + -27ln + 6lnx

Reorder the terms:
-27ln + (10lnx2) + -1lnx18 = 27ln + -27ln + 6lnx

Combine like terms: 27ln + -27ln = 0
-27ln + (10lnx2) + -1lnx18 = 0 + 6lnx
-27ln + (10lnx2) + -1lnx18 = 6lnx

Add '-6lnx' to each side of the equation.
-27ln + (10lnx2) + -6lnx + -1lnx18 = 6lnx + -6lnx

Reorder the terms:
-27ln + -6lnx + (10lnx2) + -1lnx18 = 6lnx + -6lnx

Combine like terms: 6lnx + -6lnx = 0
-27ln + -6lnx + (10lnx2) + -1lnx18 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-27 + -6x + (10x2) + -1x18) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-27 + -6x + (10x2) + -1x18)' equal to zero and attempt to solve:

Simplifying
-27 + -6x + (10x2) + -1x18 = 0

Solving
-27 + -6x + (10x2) + -1x18 = 0

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

Add '27' to each side of the equation.
-27 + -6x + (10x2) + 27 + -1x18 = 0 + 27

Reorder the terms:
-27 + 27 + -6x + (10x2) + -1x18 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -6x + (10x2) + -1x18 = 0 + 27
-6x + (10x2) + -1x18 = 0 + 27

Combine like terms: 0 + 27 = 27
-6x + (10x2) + -1x18 = 27

Add '6x' to each side of the equation.
-6x + (10x2) + 6x + -1x18 = 27 + 6x

Reorder the terms:
-6x + 6x + (10x2) + -1x18 = 27 + 6x

Combine like terms: -6x + 6x = 0
0 + (10x2) + -1x18 = 27 + 6x
(10x2) + -1x18 = 27 + 6x

Add '(-10x2)' to each side of the equation.
(10x2) + (-10x2) + -1x18 = 27 + 6x + (-10x2)

Combine like terms: (10x2) + (-10x2) = 0
0 + -1x18 = 27 + 6x + (-10x2)
-1x18 = 27 + 6x + (-10x2)

Add 'x18' to each side of the equation.
-1x18 + x18 = 27 + 6x + (-10x2) + x18

Combine like terms: -1x18 + x18 = 0
0 = 27 + 6x + (-10x2) + x18

Simplifying
0 = 27 + 6x + (-10x2) + x18

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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