ln(9x)=ln(y)

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Solution for ln(9x)=ln(y) equation: 


Simplifying
ln(9x) = ln(y)

Remove parenthesis around (9x)
ln * 9x = ln(y)

Reorder the terms for easier multiplication:
9ln * x = ln(y)

Multiply ln * x
9lnx = ln(y)

Multiply ln * y
9lnx = lny

Solving
9lnx = lny

Solving for variable 'l'.

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

Add '-1lny' to each side of the equation.
9lnx + -1lny = lny + -1lny

Combine like terms: lny + -1lny = 0
9lnx + -1lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(9x + -1y) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

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 '(9x + -1y)' equal to zero and attempt to solve:

Simplifying
9x + -1y = 0

Solving
9x + -1y = 0

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

Add '-9x' to each side of the equation.
9x + -9x + -1y = 0 + -9x

Combine like terms: 9x + -9x = 0
0 + -1y = 0 + -9x
-1y = 0 + -9x
Remove the zero:
-1y = -9x

Add 'y' to each side of the equation.
-1y + y = -9x + y

Combine like terms: -1y + y = 0
0 = -9x + y

Simplifying
0 = -9x + y

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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