ln(4x+5)=2lnx

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


Simplifying
ln(4x + 5) = 2lnx

Reorder the terms:
ln(5 + 4x) = 2lnx
(5 * ln + 4x * ln) = 2lnx
(5ln + 4lnx) = 2lnx

Solving
5ln + 4lnx = 2lnx

Solving for variable 'l'.

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

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

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

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

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