ln(x+3)+ln(x)=ln(28)

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Solution for ln(x+3)+ln(x)=ln(28) equation: 


Simplifying
ln(x + 3) + ln(x) = ln(28)

Reorder the terms:
ln(3 + x) + ln(x) = ln(28)
(3 * ln + x * ln) + ln(x) = ln(28)
(3ln + lnx) + ln(x) = ln(28)

Multiply ln * x
3ln + lnx + lnx = ln(28)

Combine like terms: lnx + lnx = 2lnx
3ln + 2lnx = ln(28)

Reorder the terms for easier multiplication:
3ln + 2lnx = 28ln

Solving
3ln + 2lnx = 28ln

Solving for variable 'l'.

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

Add '-28ln' to each side of the equation.
3ln + -28ln + 2lnx = 28ln + -28ln

Combine like terms: 3ln + -28ln = -25ln
-25ln + 2lnx = 28ln + -28ln

Combine like terms: 28ln + -28ln = 0
-25ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-25 + 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 '(-25 + 2x)' equal to zero and attempt to solve:

Simplifying
-25 + 2x = 0

Solving
-25 + 2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 0 + 25
2x = 0 + 25

Combine like terms: 0 + 25 = 25
2x = 25

Add '-2x' to each side of the equation.
2x + -2x = 25 + -2x

Combine like terms: 2x + -2x = 0
0 = 25 + -2x

Simplifying
0 = 25 + -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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