In(x)+In(x+10)=4

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Solution for In(x)+In(x+10)=4 equation:


Simplifying
In(x) + In(x + 10) = 4

Multiply nI * x
nxI + In(x + 10) = 4

Reorder the terms:
nxI + nI(10 + x) = 4
nxI + (10 * nI + x * nI) = 4
nxI + (10nI + nxI) = 4

Reorder the terms:
10nI + nxI + nxI = 4

Combine like terms: nxI + nxI = 2nxI
10nI + 2nxI = 4

Solving
10nI + 2nxI = 4

Solving for variable 'n'.

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

Reorder the terms:
-4 + 10nI + 2nxI = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 10nI + 2nxI = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 5nI + nxI) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 5nI + nxI)' equal to zero and attempt to solve: Simplifying -2 + 5nI + nxI = 0 Solving -2 + 5nI + nxI = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5nI + 2 + nxI = 0 + 2 Reorder the terms: -2 + 2 + 5nI + nxI = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5nI + nxI = 0 + 2 5nI + nxI = 0 + 2 Combine like terms: 0 + 2 = 2 5nI + nxI = 2 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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