3ln(x)+ln(8)=ln(64)

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Solution for 3ln(x)+ln(8)=ln(64) equation: 


Simplifying
3ln(x) + ln(8) = ln(64)

Multiply ln * x
3lnx + ln(8) = ln(64)

Reorder the terms for easier multiplication:
3lnx + 8ln = ln(64)

Reorder the terms:
8ln + 3lnx = ln(64)

Reorder the terms for easier multiplication:
8ln + 3lnx = 64ln

Solving
8ln + 3lnx = 64ln

Solving for variable 'l'.

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

Add '-64ln' to each side of the equation.
8ln + -64ln + 3lnx = 64ln + -64ln

Combine like terms: 8ln + -64ln = -56ln
-56ln + 3lnx = 64ln + -64ln

Combine like terms: 64ln + -64ln = 0
-56ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-56 + 3x) = 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 '(-56 + 3x)' equal to zero and attempt to solve:

Simplifying
-56 + 3x = 0

Solving
-56 + 3x = 0

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

Add '56' to each side of the equation.
-56 + 56 + 3x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 3x = 0 + 56
3x = 0 + 56

Combine like terms: 0 + 56 = 56
3x = 56

Add '-3x' to each side of the equation.
3x + -3x = 56 + -3x

Combine like terms: 3x + -3x = 0
0 = 56 + -3x

Simplifying
0 = 56 + -3x

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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