ln(x)+ln(x+7)=ln(18)

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Solution for ln(x)+ln(x+7)=ln(18) equation: 


Simplifying
ln(x) + ln(x + 7) = ln(18)

Multiply ln * x
lnx + ln(x + 7) = ln(18)

Reorder the terms:
lnx + ln(7 + x) = ln(18)
lnx + (7 * ln + x * ln) = ln(18)
lnx + (7ln + lnx) = ln(18)

Reorder the terms:
7ln + lnx + lnx = ln(18)

Combine like terms: lnx + lnx = 2lnx
7ln + 2lnx = ln(18)

Reorder the terms for easier multiplication:
7ln + 2lnx = 18ln

Solving
7ln + 2lnx = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
7ln + -18ln + 2lnx = 18ln + -18ln

Combine like terms: 7ln + -18ln = -11ln
-11ln + 2lnx = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-11ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-11 + 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 '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Add '-2x' to each side of the equation.
2x + -2x = 11 + -2x

Combine like terms: 2x + -2x = 0
0 = 11 + -2x

Simplifying
0 = 11 + -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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