ln(x)=ln(6)-4ln(2)

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Solution for ln(x)=ln(6)-4ln(2) equation: 


Simplifying
ln(x) = ln(6) + -4ln(2)

Multiply ln * x
lnx = ln(6) + -4ln(2)

Reorder the terms for easier multiplication:
lnx = 6ln + -4ln(2)

Reorder the terms for easier multiplication:
lnx = 6ln + -4 * 2ln

Multiply -4 * 2
lnx = 6ln + -8ln

Combine like terms: 6ln + -8ln = -2ln
lnx = -2ln

Solving
lnx = -2ln

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
2ln + lnx = -2ln + 2ln

Combine like terms: -2ln + 2ln = 0
2ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Add '-1x' to each side of the equation.
x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -1x

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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