Ln(8x)=Ln(5x^2)

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Solution for Ln(8x)=Ln(5x^2) equation: 


Simplifying
Ln(8x) = Ln(5x2)

Remove parenthesis around (8x)
nL * 8x = Ln(5x2)

Reorder the terms for easier multiplication:
8nL * x = Ln(5x2)

Multiply nL * x
8nxL = Ln(5x2)

Remove parenthesis around (5x2)
8nxL = nL * 5x2

Reorder the terms for easier multiplication:
8nxL = 5nL * x2

Multiply nL * x2
8nxL = 5nx2L

Solving
8nxL = 5nx2L

Solving for variable 'n'.

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

Add '-5nx2L' to each side of the equation.
8nxL + -5nx2L = 5nx2L + -5nx2L

Combine like terms: 5nx2L + -5nx2L = 0
8nxL + -5nx2L = 0

Factor out the Greatest Common Factor (GCF), 'nxL'.
nxL(8 + -5x) = 0


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

Simplifying
nxL = 0

Solving
nxL = 0

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

Simplifying
nxL = 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 '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Add '5x' to each side of the equation.
-5x + 5x = -8 + 5x

Combine like terms: -5x + 5x = 0
0 = -8 + 5x

Simplifying
0 = -8 + 5x

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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