ln*(8x+7)-ln*x=ln*9

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Solution for ln*(8x+7)-ln*x=ln*9 equation: 


Simplifying
ln(8x + 7) + -1ln * x = ln * 9

Reorder the terms:
ln(7 + 8x) + -1ln * x = ln * 9
(7 * ln + 8x * ln) + -1ln * x = ln * 9
(7ln + 8lnx) + -1ln * x = ln * 9

Multiply ln * x
7ln + 8lnx + -1lnx = ln * 9

Combine like terms: 8lnx + -1lnx = 7lnx
7ln + 7lnx = ln * 9

Reorder the terms for easier multiplication:
7ln + 7lnx = 9ln

Solving
7ln + 7lnx = 9ln

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
7ln + -9ln + 7lnx = 9ln + -9ln

Combine like terms: 7ln + -9ln = -2ln
-2ln + 7lnx = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-2ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-2 + 7x) = 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 '(-2 + 7x)' equal to zero and attempt to solve:

Simplifying
-2 + 7x = 0

Solving
-2 + 7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 0 + 2
7x = 0 + 2

Combine like terms: 0 + 2 = 2
7x = 2

Add '-7x' to each side of the equation.
7x + -7x = 2 + -7x

Combine like terms: 7x + -7x = 0
0 = 2 + -7x

Simplifying
0 = 2 + -7x

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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