7ln(x+6)-4ln(x)=

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Solution for 7ln(x+6)-4ln(x)= equation: 


Simplifying
7ln(x + 6) + -4ln(x) = 0

Reorder the terms:
7ln(6 + x) + -4ln(x) = 0
(6 * 7ln + x * 7ln) + -4ln(x) = 0
(42ln + 7lnx) + -4ln(x) = 0

Multiply ln * x
42ln + 7lnx + -4lnx = 0

Combine like terms: 7lnx + -4lnx = 3lnx
42ln + 3lnx = 0

Solving
42ln + 3lnx = 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), '3ln'.
3ln(14 + x) = 0

Ignore the factor 3.

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

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Add '-1x' to each side of the equation.
x + -1x = -14 + -1x

Combine like terms: x + -1x = 0
0 = -14 + -1x

Simplifying
0 = -14 + -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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