2lnx=ln(5+4x)

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Solution for 2lnx=ln(5+4x) equation: 


Simplifying
2lnx = ln(5 + 4x)
2lnx = (5 * ln + 4x * ln)
2lnx = (5ln + 4lnx)

Solving
2lnx = 5ln + 4lnx

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
-5ln + 2lnx = 5ln + -5ln + 4lnx

Combine like terms: 5ln + -5ln = 0
-5ln + 2lnx = 0 + 4lnx
-5ln + 2lnx = 4lnx

Add '-4lnx' to each side of the equation.
-5ln + 2lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 2lnx + -4lnx = -2lnx
-5ln + -2lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-5ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(5 + 2x) = 0

Ignore the factor -1.

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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -2x

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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