2lnx-ln(5x+60)=0

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Solution for 2lnx-ln(5x+60)=0 equation: 


Simplifying
2lnx + -1ln(5x + 60) = 0

Reorder the terms:
2lnx + -1ln(60 + 5x) = 0
2lnx + (60 * -1ln + 5x * -1ln) = 0
2lnx + (-60ln + -5lnx) = 0

Reorder the terms:
-60ln + 2lnx + -5lnx = 0

Combine like terms: 2lnx + -5lnx = -3lnx
-60ln + -3lnx = 0

Solving
-60ln + -3lnx = 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(20 + x) = 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 '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Add '-1x' to each side of the equation.
x + -1x = -20 + -1x

Combine like terms: x + -1x = 0
0 = -20 + -1x

Simplifying
0 = -20 + -1x

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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