ln(3x)+2ln(x^7)=ln(9)

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Solution for ln(3x)+2ln(x^7)=ln(9) equation: 


Simplifying
ln(3x) + 2ln(x7) = ln(9)

Remove parenthesis around (3x)
ln * 3x + 2ln(x7) = ln(9)

Reorder the terms for easier multiplication:
3ln * x + 2ln(x7) = ln(9)

Multiply ln * x
3lnx + 2ln(x7) = ln(9)

Multiply ln * x7
3lnx + 2lnx7 = ln(9)

Reorder the terms for easier multiplication:
3lnx + 2lnx7 = 9ln

Solving
3lnx + 2lnx7 = 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.
3lnx + -9ln + 2lnx7 = 9ln + -9ln

Reorder the terms:
-9ln + 3lnx + 2lnx7 = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-9ln + 3lnx + 2lnx7 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-9 + 3x + 2x7) = 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 '(-9 + 3x + 2x7)' equal to zero and attempt to solve:

Simplifying
-9 + 3x + 2x7 = 0

Solving
-9 + 3x + 2x7 = 0

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

Add '9' to each side of the equation.
-9 + 3x + 9 + 2x7 = 0 + 9

Reorder the terms:
-9 + 9 + 3x + 2x7 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 3x + 2x7 = 0 + 9
3x + 2x7 = 0 + 9

Combine like terms: 0 + 9 = 9
3x + 2x7 = 9

Add '-3x' to each side of the equation.
3x + -3x + 2x7 = 9 + -3x

Combine like terms: 3x + -3x = 0
0 + 2x7 = 9 + -3x
2x7 = 9 + -3x

Add '-2x7' to each side of the equation.
2x7 + -2x7 = 9 + -3x + -2x7

Combine like terms: 2x7 + -2x7 = 0
0 = 9 + -3x + -2x7

Simplifying
0 = 9 + -3x + -2x7

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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