7ln(x)=ln(12)

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Solution for 7ln(x)=ln(12) equation: 


Simplifying
7ln(x) = ln(12)

Multiply ln * x
7lnx = ln(12)

Reorder the terms for easier multiplication:
7lnx = 12ln

Solving
7lnx = 12ln

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
-12ln + 7lnx = 12ln + -12ln

Combine like terms: 12ln + -12ln = 0
-12ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-12 + 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 '(-12 + 7x)' equal to zero and attempt to solve:

Simplifying
-12 + 7x = 0

Solving
-12 + 7x = 0

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

Add '12' to each side of the equation.
-12 + 12 + 7x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 0 + 12
7x = 0 + 12

Combine like terms: 0 + 12 = 12
7x = 12

Add '-7x' to each side of the equation.
7x + -7x = 12 + -7x

Combine like terms: 7x + -7x = 0
0 = 12 + -7x

Simplifying
0 = 12 + -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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