y=ln(5x)fory

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Solution for y=ln(5x)fory equation: 


Simplifying
y = ln(5x) * fory

Remove parenthesis around (5x)
y = ln * 5x * fory

Reorder the terms for easier multiplication:
y = 5ln * x * fory

Multiply ln * x
y = 5lnx * fory

Multiply lnx * fory
y = 5flnorxy

Solving
y = 5flnorxy

Solving for variable 'y'.

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

Add '-5flnorxy' to each side of the equation.
-5flnorxy + y = 5flnorxy + -5flnorxy

Combine like terms: 5flnorxy + -5flnorxy = 0
-5flnorxy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5flnorx + 1) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-5flnorx + 1)' equal to zero and attempt to solve:

Simplifying
-5flnorx + 1 = 0

Reorder the terms:
1 + -5flnorx = 0

Solving
1 + -5flnorx = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5flnorx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5flnorx = 0 + -1
-5flnorx = 0 + -1

Combine like terms: 0 + -1 = -1
-5flnorx = -1

Add '5flnorx' to each side of the equation.
-5flnorx + 5flnorx = -1 + 5flnorx

Combine like terms: -5flnorx + 5flnorx = 0
0 = -1 + 5flnorx

Simplifying
0 = -1 + 5flnorx

The solution to this equation could not be determined.

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

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