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

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

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

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

Multiply ln * x
42ln + 6lnx + -7lnx = 0

Combine like terms: 6lnx + -7lnx = -1lnx
42ln + -1lnx = 0

Solving
42ln + -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(42 + -1x) = 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 '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Add 'x' to each side of the equation.
-1x + x = -42 + x

Combine like terms: -1x + x = 0
0 = -42 + x

Simplifying
0 = -42 + 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.