ln(2x)+ln(x-7)=0

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Solution for ln(2x)+ln(x-7)=0 equation: 


Simplifying
ln(2x) + ln(x + -7) = 0

Remove parenthesis around (2x)
ln * 2x + ln(x + -7) = 0

Reorder the terms for easier multiplication:
2ln * x + ln(x + -7) = 0

Multiply ln * x
2lnx + ln(x + -7) = 0

Reorder the terms:
2lnx + ln(-7 + x) = 0
2lnx + (-7 * ln + x * ln) = 0
2lnx + (-7ln + lnx) = 0

Reorder the terms:
-7ln + 2lnx + lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
-7ln + 3lnx = 0

Solving
-7ln + 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), 'ln'.
ln(-7 + 3x) = 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 '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Add '-3x' to each side of the equation.
3x + -3x = 7 + -3x

Combine like terms: 3x + -3x = 0
0 = 7 + -3x

Simplifying
0 = 7 + -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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