2Ln(x-5)=Ln(10)

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Solution for 2Ln(x-5)=Ln(10) equation: 


Simplifying
2Ln(x + -5) = Ln(10)

Reorder the terms:
2nL(-5 + x) = Ln(10)
(-5 * 2nL + x * 2nL) = Ln(10)
(-10nL + 2nxL) = Ln(10)

Reorder the terms for easier multiplication:
-10nL + 2nxL = 10nL

Solving
-10nL + 2nxL = 10nL

Solving for variable 'n'.

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

Add '-10nL' to each side of the equation.
-10nL + -10nL + 2nxL = 10nL + -10nL

Combine like terms: -10nL + -10nL = -20nL
-20nL + 2nxL = 10nL + -10nL

Combine like terms: 10nL + -10nL = 0
-20nL + 2nxL = 0

Factor out the Greatest Common Factor (GCF), '2nL'.
2nL(-10 + x) = 0

Ignore the factor 2.

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

Simplifying
nL = 0

Solving
nL = 0

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

Simplifying
nL = 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

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

Combine like terms: x + -1x = 0
0 = 10 + -1x

Simplifying
0 = 10 + -1x

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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