4x=lnx

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Solution for 4x=lnx equation:


Simplifying
4x = lnx

Solving
4x = lnx

Solving for variable 'x'.

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

Add '-1lnx' to each side of the equation.
-1lnx + 4x = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1lnx + 4x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1ln + 4) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(-1ln + 4)' equal to zero and attempt to solve: Simplifying -1ln + 4 = 0 Reorder the terms: 4 + -1ln = 0 Solving 4 + -1ln = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1ln = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ln = 0 + -4 -1ln = 0 + -4 Combine like terms: 0 + -4 = -4 -1ln = -4 Add 'ln' to each side of the equation. -1ln + ln = -4 + ln Combine like terms: -1ln + ln = 0 0 = -4 + ln Simplifying 0 = -4 + ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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