4ln(2x+3)+ln(7)=0

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Solution for 4ln(2x+3)+ln(7)=0 equation: 


Simplifying
4ln(2x + 3) + ln(7) = 0

Reorder the terms:
4ln(3 + 2x) + ln(7) = 0
(3 * 4ln + 2x * 4ln) + ln(7) = 0
(12ln + 8lnx) + ln(7) = 0

Reorder the terms for easier multiplication:
12ln + 8lnx + 7ln = 0

Reorder the terms:
12ln + 7ln + 8lnx = 0

Combine like terms: 12ln + 7ln = 19ln
19ln + 8lnx = 0

Solving
19ln + 8lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(19 + 8x) = 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 '(19 + 8x)' equal to zero and attempt to solve:

Simplifying
19 + 8x = 0

Solving
19 + 8x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 8x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 8x = 0 + -19
8x = 0 + -19

Combine like terms: 0 + -19 = -19
8x = -19

Add '-8x' to each side of the equation.
8x + -8x = -19 + -8x

Combine like terms: 8x + -8x = 0
0 = -19 + -8x

Simplifying
0 = -19 + -8x

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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