ln(2x+5)+ln(x+4)-2ln(x)=0

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Solution for ln(2x+5)+ln(x+4)-2ln(x)=0 equation: 


Simplifying
ln(2x + 5) + ln(x + 4) + -2ln(x) = 0

Reorder the terms:
ln(5 + 2x) + ln(x + 4) + -2ln(x) = 0
(5 * ln + 2x * ln) + ln(x + 4) + -2ln(x) = 0
(5ln + 2lnx) + ln(x + 4) + -2ln(x) = 0

Reorder the terms:
5ln + 2lnx + ln(4 + x) + -2ln(x) = 0
5ln + 2lnx + (4 * ln + x * ln) + -2ln(x) = 0
5ln + 2lnx + (4ln + lnx) + -2ln(x) = 0

Multiply ln * x
5ln + 2lnx + 4ln + lnx + -2lnx = 0

Reorder the terms:
5ln + 4ln + 2lnx + lnx + -2lnx = 0

Combine like terms: 5ln + 4ln = 9ln
9ln + 2lnx + lnx + -2lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
9ln + 3lnx + -2lnx = 0

Combine like terms: 3lnx + -2lnx = 1lnx
9ln + 1lnx = 0

Solving
9ln + 1lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(9 + 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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Add '-1x' to each side of the equation.
x + -1x = -9 + -1x

Combine like terms: x + -1x = 0
0 = -9 + -1x

Simplifying
0 = -9 + -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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