ln(3x+6)+ln(2)=ln(63)

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Solution for ln(3x+6)+ln(2)=ln(63) equation: 


Simplifying
ln(3x + 6) + ln(2) = ln(63)

Reorder the terms:
ln(6 + 3x) + ln(2) = ln(63)
(6 * ln + 3x * ln) + ln(2) = ln(63)
(6ln + 3lnx) + ln(2) = ln(63)

Reorder the terms for easier multiplication:
6ln + 3lnx + 2ln = ln(63)

Reorder the terms:
6ln + 2ln + 3lnx = ln(63)

Combine like terms: 6ln + 2ln = 8ln
8ln + 3lnx = ln(63)

Reorder the terms for easier multiplication:
8ln + 3lnx = 63ln

Solving
8ln + 3lnx = 63ln

Solving for variable 'l'.

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

Add '-63ln' to each side of the equation.
8ln + -63ln + 3lnx = 63ln + -63ln

Combine like terms: 8ln + -63ln = -55ln
-55ln + 3lnx = 63ln + -63ln

Combine like terms: 63ln + -63ln = 0
-55ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-55 + 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 '(-55 + 3x)' equal to zero and attempt to solve:

Simplifying
-55 + 3x = 0

Solving
-55 + 3x = 0

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

Add '55' to each side of the equation.
-55 + 55 + 3x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 3x = 0 + 55
3x = 0 + 55

Combine like terms: 0 + 55 = 55
3x = 55

Add '-3x' to each side of the equation.
3x + -3x = 55 + -3x

Combine like terms: 3x + -3x = 0
0 = 55 + -3x

Simplifying
0 = 55 + -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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