8*ln(14)+ln(7x)=8*ln(2)

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Solution for 8*ln(14)+ln(7x)=8*ln(2) equation: 


Simplifying
8ln(14) + ln(7x) = 8ln(2)

Reorder the terms for easier multiplication:
8 * 14ln + ln(7x) = 8ln(2)

Multiply 8 * 14
112ln + ln(7x) = 8ln(2)

Remove parenthesis around (7x)
112ln + ln * 7x = 8ln(2)

Reorder the terms for easier multiplication:
112ln + 7ln * x = 8ln(2)

Multiply ln * x
112ln + 7lnx = 8ln(2)

Reorder the terms for easier multiplication:
112ln + 7lnx = 8 * 2ln

Multiply 8 * 2
112ln + 7lnx = 16ln

Solving
112ln + 7lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
112ln + -16ln + 7lnx = 16ln + -16ln

Combine like terms: 112ln + -16ln = 96ln
96ln + 7lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
96ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(96 + 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 '(96 + 7x)' equal to zero and attempt to solve:

Simplifying
96 + 7x = 0

Solving
96 + 7x = 0

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

Add '-96' to each side of the equation.
96 + -96 + 7x = 0 + -96

Combine like terms: 96 + -96 = 0
0 + 7x = 0 + -96
7x = 0 + -96

Combine like terms: 0 + -96 = -96
7x = -96

Add '-7x' to each side of the equation.
7x + -7x = -96 + -7x

Combine like terms: 7x + -7x = 0
0 = -96 + -7x

Simplifying
0 = -96 + -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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