6ln(x-15)-7lnx=

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Solution for 6ln(x-15)-7lnx= equation: 


Simplifying
6ln(x + -15) + -7lnx = 0

Reorder the terms:
6ln(-15 + x) + -7lnx = 0
(-15 * 6ln + x * 6ln) + -7lnx = 0
(-90ln + 6lnx) + -7lnx = 0

Combine like terms: 6lnx + -7lnx = -1lnx
-90ln + -1lnx = 0

Solving
-90ln + -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), '-1ln'.
-1ln(90 + x) = 0

Ignore the factor -1.

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

Simplifying
90 + x = 0

Solving
90 + x = 0

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

Add '-90' to each side of the equation.
90 + -90 + x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + x = 0 + -90
x = 0 + -90

Combine like terms: 0 + -90 = -90
x = -90

Add '-1x' to each side of the equation.
x + -1x = -90 + -1x

Combine like terms: x + -1x = 0
0 = -90 + -1x

Simplifying
0 = -90 + -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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