ln(x)+ln(x+4)=ln(77)

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Solution for ln(x)+ln(x+4)=ln(77) equation: 


Simplifying
ln(x) + ln(x + 4) = ln(77)

Multiply ln * x
lnx + ln(x + 4) = ln(77)

Reorder the terms:
lnx + ln(4 + x) = ln(77)
lnx + (4 * ln + x * ln) = ln(77)
lnx + (4ln + lnx) = ln(77)

Reorder the terms:
4ln + lnx + lnx = ln(77)

Combine like terms: lnx + lnx = 2lnx
4ln + 2lnx = ln(77)

Reorder the terms for easier multiplication:
4ln + 2lnx = 77ln

Solving
4ln + 2lnx = 77ln

Solving for variable 'l'.

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

Add '-77ln' to each side of the equation.
4ln + -77ln + 2lnx = 77ln + -77ln

Combine like terms: 4ln + -77ln = -73ln
-73ln + 2lnx = 77ln + -77ln

Combine like terms: 77ln + -77ln = 0
-73ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-73 + 2x) = 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 '(-73 + 2x)' equal to zero and attempt to solve:

Simplifying
-73 + 2x = 0

Solving
-73 + 2x = 0

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

Add '73' to each side of the equation.
-73 + 73 + 2x = 0 + 73

Combine like terms: -73 + 73 = 0
0 + 2x = 0 + 73
2x = 0 + 73

Combine like terms: 0 + 73 = 73
2x = 73

Add '-2x' to each side of the equation.
2x + -2x = 73 + -2x

Combine like terms: 2x + -2x = 0
0 = 73 + -2x

Simplifying
0 = 73 + -2x

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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