ln(x)=2[ln(3)-ln(5)]

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Solution for ln(x)=2[ln(3)-ln(5)] equation: 


Simplifying
ln(x) = 2[ln(3) + -1ln(5)]

Multiply ln * x
lnx = 2[ln(3) + -1ln(5)]

Reorder the terms for easier multiplication:
lnx = 2[3ln + -1ln(5)]

Reorder the terms for easier multiplication:
lnx = 2[3ln + -1 * 5ln]

Multiply -1 * 5
lnx = 2[3ln + -5ln]

Combine like terms: 3ln + -5ln = -2ln
lnx = 2[-2ln]

Remove brackets around [-2ln]
lnx = 2 * -2ln

Multiply 2 * -2
lnx = -4ln

Solving
lnx = -4ln

Solving for variable 'l'.

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

Add '4ln' to each side of the equation.
4ln + lnx = -4ln + 4ln

Combine like terms: -4ln + 4ln = 0
4ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Add '-1x' to each side of the equation.
x + -1x = -4 + -1x

Combine like terms: x + -1x = 0
0 = -4 + -1x

Simplifying
0 = -4 + -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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