Ln(14)=ln(x)

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Solution for Ln(14)=ln(x) equation:


Simplifying
Ln(14) = ln(x)

Reorder the terms for easier multiplication:
14nL = ln(x)

Multiply ln * x
14nL = lnx

Solving
14nL = lnx

Solving for variable 'n'.

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

Add '-1lnx' to each side of the equation.
-1lnx + 14nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1lnx + 14nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lx + 14L) = 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 '(-1lx + 14L)' equal to zero and attempt to solve: Simplifying -1lx + 14L = 0 Reorder the terms: 14L + -1lx = 0 Solving 14L + -1lx = 0 Move all terms containing n to the left, all other terms to the right. Add '-14L' to each side of the equation. 14L + -14L + -1lx = 0 + -14L Combine like terms: 14L + -14L = 0 0 + -1lx = 0 + -14L -1lx = 0 + -14L Remove the zero: -1lx = -14L Add 'lx' to each side of the equation. -1lx + lx = -14L + lx Combine like terms: -1lx + lx = 0 0 = -14L + lx Simplifying 0 = -14L + lx 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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