ln(x^4)+ln(x)=24ln(e)

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Solution for ln(x^4)+ln(x)=24ln(e) equation: 


Simplifying
ln(x4) + ln(x) = 24ln(e)

Multiply ln * x4
lnx4 + ln(x) = 24ln(e)

Multiply ln * x
lnx4 + lnx = 24ln(e)

Reorder the terms:
lnx + lnx4 = 24ln(e)

Multiply ln * e
lnx + lnx4 = 24eln

Solving
lnx + lnx4 = 24eln

Solving for variable 'l'.

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

Add '-24eln' to each side of the equation.
lnx + -24eln + lnx4 = 24eln + -24eln

Reorder the terms:
-24eln + lnx + lnx4 = 24eln + -24eln

Combine like terms: 24eln + -24eln = 0
-24eln + lnx + lnx4 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-24e + x + x4) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(-24e + x + x4)' equal to zero and attempt to solve:

Simplifying
-24e + x + x4 = 0

Solving
-24e + x + x4 = 0

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

Add '24e' to each side of the equation.
-24e + x + 24e + x4 = 0 + 24e

Reorder the terms:
-24e + 24e + x + x4 = 0 + 24e

Combine like terms: -24e + 24e = 0
0 + x + x4 = 0 + 24e
x + x4 = 0 + 24e
Remove the zero:
x + x4 = 24e

Add '-1x' to each side of the equation.
x + -1x + x4 = 24e + -1x

Combine like terms: x + -1x = 0
0 + x4 = 24e + -1x
x4 = 24e + -1x

Add '-1x4' to each side of the equation.
x4 + -1x4 = 24e + -1x + -1x4

Combine like terms: x4 + -1x4 = 0
0 = 24e + -1x + -1x4

Simplifying
0 = 24e + -1x + -1x4

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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