Lnx=ln(2x+3)

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Solution for Lnx=ln(2x+3) equation: 


Simplifying
Lnx = ln(2x + 3)

Reorder the terms:
nxL = ln(3 + 2x)
nxL = (3 * ln + 2x * ln)
nxL = (3ln + 2lnx)

Solving
nxL = 3ln + 2lnx

Solving for variable 'n'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3l + -2lx + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-3l + -2lx + xL)' equal to zero and attempt to solve:

Simplifying
-3l + -2lx + xL = 0

Solving
-3l + -2lx + xL = 0

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

Add '3l' to each side of the equation.
-3l + -2lx + 3l + xL = 0 + 3l

Reorder the terms:
-3l + 3l + -2lx + xL = 0 + 3l

Combine like terms: -3l + 3l = 0
0 + -2lx + xL = 0 + 3l
-2lx + xL = 0 + 3l
Remove the zero:
-2lx + xL = 3l

Add '2lx' to each side of the equation.
-2lx + 2lx + xL = 3l + 2lx

Combine like terms: -2lx + 2lx = 0
0 + xL = 3l + 2lx
xL = 3l + 2lx

Add '-1xL' to each side of the equation.
xL + -1xL = 3l + 2lx + -1xL

Combine like terms: xL + -1xL = 0
0 = 3l + 2lx + -1xL

Simplifying
0 = 3l + 2lx + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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