ln(x+30)-ln(x+2)=ln(x)

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Solution for ln(x+30)-ln(x+2)=ln(x) equation: 


Simplifying
ln(x + 30) + -1ln(x + 2) = ln(x)

Reorder the terms:
ln(30 + x) + -1ln(x + 2) = ln(x)
(30 * ln + x * ln) + -1ln(x + 2) = ln(x)
(30ln + lnx) + -1ln(x + 2) = ln(x)

Reorder the terms:
30ln + lnx + -1ln(2 + x) = ln(x)
30ln + lnx + (2 * -1ln + x * -1ln) = ln(x)
30ln + lnx + (-2ln + -1lnx) = ln(x)

Reorder the terms:
30ln + -2ln + lnx + -1lnx = ln(x)

Combine like terms: 30ln + -2ln = 28ln
28ln + lnx + -1lnx = ln(x)

Combine like terms: lnx + -1lnx = 0
28ln + 0 = ln(x)
28ln = ln(x)

Multiply ln * x
28ln = lnx

Solving
28ln = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
28ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
28ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(28 + -1x) = 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 '(28 + -1x)' equal to zero and attempt to solve:

Simplifying
28 + -1x = 0

Solving
28 + -1x = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = 0 + -28
-1x = 0 + -28

Combine like terms: 0 + -28 = -28
-1x = -28

Add 'x' to each side of the equation.
-1x + x = -28 + x

Combine like terms: -1x + x = 0
0 = -28 + x

Simplifying
0 = -28 + x

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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