ln(x^4)-4ln(x)=0

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Solution for ln(x^4)-4ln(x)=0 equation:


Simplifying
ln(x4) + -4ln(x) = 0

Multiply ln * x4
lnx4 + -4ln(x) = 0

Multiply ln * x
lnx4 + -4lnx = 0

Reorder the terms:
-4lnx + lnx4 = 0

Solving
-4lnx + lnx4 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-4 + x3) = 0

Subproblem 1

Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-4 + x3)' equal to zero and attempt to solve: Simplifying -4 + x3 = 0 Solving -4 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 0 + 4 x3 = 0 + 4 Combine like terms: 0 + 4 = 4 x3 = 4 Add '-1x3' to each side of the equation. x3 + -1x3 = 4 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 4 + -1x3 Simplifying 0 = 4 + -1x3 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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