ln(2x+3)=on(4x-1)

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Solution for ln(2x+3)=on(4x-1) equation: 


Simplifying
ln(2x + 3) = on(4x + -1)

Reorder the terms:
ln(3 + 2x) = on(4x + -1)
(3 * ln + 2x * ln) = on(4x + -1)
(3ln + 2lnx) = on(4x + -1)

Reorder the terms:
3ln + 2lnx = no(-1 + 4x)
3ln + 2lnx = (-1 * no + 4x * no)
3ln + 2lnx = (-1no + 4nox)

Solving
3ln + 2lnx = -1no + 4nox

Solving for variable 'l'.

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

Reorder the terms:
3ln + 2lnx + no + -4nox = -1no + no + 4nox + -4nox

Combine like terms: -1no + no = 0
3ln + 2lnx + no + -4nox = 0 + 4nox + -4nox
3ln + 2lnx + no + -4nox = 4nox + -4nox

Combine like terms: 4nox + -4nox = 0
3ln + 2lnx + no + -4nox = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(3l + 2lx + o + -4ox) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(3l + 2lx + o + -4ox)' equal to zero and attempt to solve:

Simplifying
3l + 2lx + o + -4ox = 0

Solving
3l + 2lx + o + -4ox = 0

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

Add '-1o' to each side of the equation.
3l + 2lx + o + -1o + -4ox = 0 + -1o

Combine like terms: o + -1o = 0
3l + 2lx + 0 + -4ox = 0 + -1o
3l + 2lx + -4ox = 0 + -1o
Remove the zero:
3l + 2lx + -4ox = -1o

Add '4ox' to each side of the equation.
3l + 2lx + -4ox + 4ox = -1o + 4ox

Combine like terms: -4ox + 4ox = 0
3l + 2lx + 0 = -1o + 4ox
3l + 2lx = -1o + 4ox

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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