ln(x^2-10)+ln(9)=ln(10)

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Solution for ln(x^2-10)+ln(9)=ln(10) equation: 


Simplifying
ln(x2 + -10) + ln(9) = ln(10)

Reorder the terms:
ln(-10 + x2) + ln(9) = ln(10)
(-10 * ln + x2 * ln) + ln(9) = ln(10)
(-10ln + lnx2) + ln(9) = ln(10)

Reorder the terms for easier multiplication:
-10ln + lnx2 + 9ln = ln(10)

Reorder the terms:
-10ln + 9ln + lnx2 = ln(10)

Combine like terms: -10ln + 9ln = -1ln
-1ln + lnx2 = ln(10)

Reorder the terms for easier multiplication:
-1ln + lnx2 = 10ln

Solving
-1ln + lnx2 = 10ln

Solving for variable 'l'.

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

Add '-10ln' to each side of the equation.
-1ln + -10ln + lnx2 = 10ln + -10ln

Combine like terms: -1ln + -10ln = -11ln
-11ln + lnx2 = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-11ln + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-11 + x2) = 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 '(-11 + x2)' equal to zero and attempt to solve:

Simplifying
-11 + x2 = 0

Solving
-11 + x2 = 0

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

Add '11' to each side of the equation.
-11 + 11 + x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x2 = 0 + 11
x2 = 0 + 11

Combine like terms: 0 + 11 = 11
x2 = 11

Add '-1x2' to each side of the equation.
x2 + -1x2 = 11 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 11 + -1x2

Simplifying
0 = 11 + -1x2

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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