Ln(x^4)=ln(10)

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Solution for Ln(x^4)=ln(10) equation:


Simplifying
Ln(x4) = ln(10)

Multiply nL * x4
nx4L = ln(10)

Reorder the terms for easier multiplication:
nx4L = 10ln

Solving
nx4L = 10ln

Solving for variable 'n'.

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

Add '-10ln' to each side of the equation.
-10ln + nx4L = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-10ln + nx4L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-10l + x4L) = 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 '(-10l + x4L)' equal to zero and attempt to solve: Simplifying -10l + x4L = 0 Solving -10l + x4L = 0 Move all terms containing n to the left, all other terms to the right. Add '10l' to each side of the equation. -10l + 10l + x4L = 0 + 10l Combine like terms: -10l + 10l = 0 0 + x4L = 0 + 10l x4L = 0 + 10l Remove the zero: x4L = 10l Add '-1x4L' to each side of the equation. x4L + -1x4L = 10l + -1x4L Combine like terms: x4L + -1x4L = 0 0 = 10l + -1x4L Simplifying 0 = 10l + -1x4L 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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