ln(9x)+ln(3)=

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


Simplifying
ln(9x) + ln(3) = 0

Remove parenthesis around (9x)
ln * 9x + ln(3) = 0

Reorder the terms for easier multiplication:
9ln * x + ln(3) = 0

Multiply ln * x
9lnx + ln(3) = 0

Reorder the terms for easier multiplication:
9lnx + 3ln = 0

Reorder the terms:
3ln + 9lnx = 0

Solving
3ln + 9lnx = 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), '3ln'.
3ln(1 + 3x) = 0

Ignore the factor 3.

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 '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Add '-3x' to each side of the equation.
3x + -3x = -1 + -3x

Combine like terms: 3x + -3x = 0
0 = -1 + -3x

Simplifying
0 = -1 + -3x

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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