Ln(9+x)=on

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Solution for Ln(9+x)=on equation:


Simplifying
Ln(9 + x) = on
(9 * nL + x * nL) = on
(9nL + nxL) = on

Solving
9nL + nxL = no

Solving for variable 'n'.

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

Add '-1no' to each side of the equation.
9nL + -1no + nxL = no + -1no

Combine like terms: no + -1no = 0
9nL + -1no + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(9L + -1o + xL) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(9L + -1o + xL)' equal to zero and attempt to solve: Simplifying 9L + -1o + xL = 0 Solving 9L + -1o + xL = 0 Move all terms containing n to the left, all other terms to the right. Add '-9L' to each side of the equation. 9L + -1o + -9L + xL = 0 + -9L Reorder the terms: 9L + -9L + -1o + xL = 0 + -9L Combine like terms: 9L + -9L = 0 0 + -1o + xL = 0 + -9L -1o + xL = 0 + -9L Remove the zero: -1o + xL = -9L Add 'o' to each side of the equation. -1o + o + xL = -9L + o Combine like terms: -1o + o = 0 0 + xL = -9L + o xL = -9L + o Add '-1xL' to each side of the equation. xL + -1xL = -9L + o + -1xL Combine like terms: xL + -1xL = 0 0 = -9L + o + -1xL Simplifying 0 = -9L + o + -1xL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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