ln(2x+3)=on(5x-6)

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Solution for ln(2x+3)=on(5x-6) equation: 


Simplifying
ln(2x + 3) = on(5x + -6)

Reorder the terms:
ln(3 + 2x) = on(5x + -6)
(3 * ln + 2x * ln) = on(5x + -6)
(3ln + 2lnx) = on(5x + -6)

Reorder the terms:
3ln + 2lnx = no(-6 + 5x)
3ln + 2lnx = (-6 * no + 5x * no)
3ln + 2lnx = (-6no + 5nox)

Solving
3ln + 2lnx = -6no + 5nox

Solving for variable 'l'.

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

Reorder the terms:
3ln + 2lnx + 6no + -5nox = -6no + 6no + 5nox + -5nox

Combine like terms: -6no + 6no = 0
3ln + 2lnx + 6no + -5nox = 0 + 5nox + -5nox
3ln + 2lnx + 6no + -5nox = 5nox + -5nox

Combine like terms: 5nox + -5nox = 0
3ln + 2lnx + 6no + -5nox = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(3l + 2lx + 6o + -5ox) = 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 + 6o + -5ox)' equal to zero and attempt to solve:

Simplifying
3l + 2lx + 6o + -5ox = 0

Solving
3l + 2lx + 6o + -5ox = 0

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

Add '-6o' to each side of the equation.
3l + 2lx + 6o + -6o + -5ox = 0 + -6o

Combine like terms: 6o + -6o = 0
3l + 2lx + 0 + -5ox = 0 + -6o
3l + 2lx + -5ox = 0 + -6o
Remove the zero:
3l + 2lx + -5ox = -6o

Add '5ox' to each side of the equation.
3l + 2lx + -5ox + 5ox = -6o + 5ox

Combine like terms: -5ox + 5ox = 0
3l + 2lx + 0 = -6o + 5ox
3l + 2lx = -6o + 5ox

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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