ln(5)+ln(5x^2-5)=ln(56)

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Solution for ln(5)+ln(5x^2-5)=ln(56) equation: 


Simplifying
ln(5) + ln(5x2 + -5) = ln(56)

Reorder the terms for easier multiplication:
5ln + ln(5x2 + -5) = ln(56)

Reorder the terms:
5ln + ln(-5 + 5x2) = ln(56)
5ln + (-5 * ln + 5x2 * ln) = ln(56)
5ln + (-5ln + 5lnx2) = ln(56)

Combine like terms: 5ln + -5ln = 0
0 + 5lnx2 = ln(56)
5lnx2 = ln(56)

Reorder the terms for easier multiplication:
5lnx2 = 56ln

Solving
5lnx2 = 56ln

Solving for variable 'l'.

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

Add '-56ln' to each side of the equation.
-56ln + 5lnx2 = 56ln + -56ln

Combine like terms: 56ln + -56ln = 0
-56ln + 5lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-56 + 5x2) = 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 '(-56 + 5x2)' equal to zero and attempt to solve:

Simplifying
-56 + 5x2 = 0

Solving
-56 + 5x2 = 0

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

Add '56' to each side of the equation.
-56 + 56 + 5x2 = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 5x2 = 0 + 56
5x2 = 0 + 56

Combine like terms: 0 + 56 = 56
5x2 = 56

Add '-5x2' to each side of the equation.
5x2 + -5x2 = 56 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = 56 + -5x2

Simplifying
0 = 56 + -5x2

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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