-xln(4)+xln(8)=ln(3)

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Solution for -xln(4)+xln(8)=ln(3) equation: 


Simplifying
-1xln(4) + xln(8) = ln(3)

Reorder the terms for easier multiplication:
-1 * 4lnx + xln(8) = ln(3)

Multiply -1 * 4
-4lnx + xln(8) = ln(3)

Reorder the terms for easier multiplication:
-4lnx + 8lnx = ln(3)

Combine like terms: -4lnx + 8lnx = 4lnx
4lnx = ln(3)

Reorder the terms for easier multiplication:
4lnx = 3ln

Solving
4lnx = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-3ln + 4lnx = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-3ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 4x) = 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 '(-3 + 4x)' equal to zero and attempt to solve:

Simplifying
-3 + 4x = 0

Solving
-3 + 4x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3

Combine like terms: 0 + 3 = 3
4x = 3

Add '-4x' to each side of the equation.
4x + -4x = 3 + -4x

Combine like terms: 4x + -4x = 0
0 = 3 + -4x

Simplifying
0 = 3 + -4x

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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