ln(x)=4logx(e)

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Solution for ln(x)=4logx(e) equation: 


Simplifying
ln(x) = 4logx(e)

Multiply ln * x
lnx = 4logx(e)

Multiply glox * e
lnx = 4eglox

Solving
lnx = 4eglox

Solving for variable 'l'.

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

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

Combine like terms: 4eglox + -4eglox = 0
-4eglox + lnx = 0

Factor out the Greatest Common Factor (GCF), 'lx'.
lx(-4ego + n) = 0


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

Simplifying
lx = 0

Solving
lx = 0

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

Simplifying
lx = 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 '(-4ego + n)' equal to zero and attempt to solve:

Simplifying
-4ego + n = 0

Solving
-4ego + n = 0

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

Add '4ego' to each side of the equation.
-4ego + 4ego + n = 0 + 4ego

Combine like terms: -4ego + 4ego = 0
0 + n = 0 + 4ego
n = 0 + 4ego
Remove the zero:
n = 4ego

Add '-1n' to each side of the equation.
n + -1n = 4ego + -1n

Combine like terms: n + -1n = 0
0 = 4ego + -1n

Simplifying
0 = 4ego + -1n

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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