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

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


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

Reorder the terms:
5ln(7 + x) + -7ln(x) = 0
(7 * 5ln + x * 5ln) + -7ln(x) = 0
(35ln + 5lnx) + -7ln(x) = 0

Multiply ln * x
35ln + 5lnx + -7lnx = 0

Combine like terms: 5lnx + -7lnx = -2lnx
35ln + -2lnx = 0

Solving
35ln + -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), 'ln'.
ln(35 + -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 '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Add '2x' to each side of the equation.
-2x + 2x = -35 + 2x

Combine like terms: -2x + 2x = 0
0 = -35 + 2x

Simplifying
0 = -35 + 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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