5ln(x+4)-7lnx=0

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Solution for 5ln(x+4)-7lnx=0 equation: 


Simplifying
5ln(x + 4) + -7lnx = 0

Reorder the terms:
5ln(4 + x) + -7lnx = 0
(4 * 5ln + x * 5ln) + -7lnx = 0
(20ln + 5lnx) + -7lnx = 0

Combine like terms: 5lnx + -7lnx = -2lnx
20ln + -2lnx = 0

Solving
20ln + -2lnx = 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), '2ln'.
2ln(10 + -1x) = 0

Ignore the factor 2.

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 '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Add 'x' to each side of the equation.
-1x + x = -10 + x

Combine like terms: -1x + x = 0
0 = -10 + x

Simplifying
0 = -10 + x

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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