ln(5x-1)=on(2x+8)

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Solution for ln(5x-1)=on(2x+8) equation: 


Simplifying
ln(5x + -1) = on(2x + 8)

Reorder the terms:
ln(-1 + 5x) = on(2x + 8)
(-1 * ln + 5x * ln) = on(2x + 8)
(-1ln + 5lnx) = on(2x + 8)

Reorder the terms:
-1ln + 5lnx = no(8 + 2x)
-1ln + 5lnx = (8 * no + 2x * no)
-1ln + 5lnx = (8no + 2nox)

Solving
-1ln + 5lnx = 8no + 2nox

Solving for variable 'l'.

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

Reorder the terms:
-1ln + 5lnx + -8no + -2nox = 8no + -8no + 2nox + -2nox

Combine like terms: 8no + -8no = 0
-1ln + 5lnx + -8no + -2nox = 0 + 2nox + -2nox
-1ln + 5lnx + -8no + -2nox = 2nox + -2nox

Combine like terms: 2nox + -2nox = 0
-1ln + 5lnx + -8no + -2nox = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + 5lx + -8o + -2ox) = 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 '(-1l + 5lx + -8o + -2ox)' equal to zero and attempt to solve:

Simplifying
-1l + 5lx + -8o + -2ox = 0

Solving
-1l + 5lx + -8o + -2ox = 0

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

Add '8o' to each side of the equation.
-1l + 5lx + -8o + 8o + -2ox = 0 + 8o

Combine like terms: -8o + 8o = 0
-1l + 5lx + 0 + -2ox = 0 + 8o
-1l + 5lx + -2ox = 0 + 8o
Remove the zero:
-1l + 5lx + -2ox = 8o

Add '2ox' to each side of the equation.
-1l + 5lx + -2ox + 2ox = 8o + 2ox

Combine like terms: -2ox + 2ox = 0
-1l + 5lx + 0 = 8o + 2ox
-1l + 5lx = 8o + 2ox

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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