2ln(4x+7)+5=9

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Solution for 2ln(4x+7)+5=9 equation:


Simplifying
2ln(4x + 7) + 5 = 9

Reorder the terms:
2ln(7 + 4x) + 5 = 9
(7 * 2ln + 4x * 2ln) + 5 = 9
(14ln + 8lnx) + 5 = 9

Reorder the terms:
5 + 14ln + 8lnx = 9

Solving
5 + 14ln + 8lnx = 9

Solving for variable 'l'.

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

Add '-5' to each side of the equation.
5 + 14ln + -5 + 8lnx = 9 + -5

Reorder the terms:
5 + -5 + 14ln + 8lnx = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 14ln + 8lnx = 9 + -5
14ln + 8lnx = 9 + -5

Combine like terms: 9 + -5 = 4
14ln + 8lnx = 4

Reorder the terms:
-4 + 14ln + 8lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 14ln + 8lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 7ln + 4lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 7ln + 4lnx)' equal to zero and attempt to solve: Simplifying -2 + 7ln + 4lnx = 0 Solving -2 + 7ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7ln + 2 + 4lnx = 0 + 2 Reorder the terms: -2 + 2 + 7ln + 4lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7ln + 4lnx = 0 + 2 7ln + 4lnx = 0 + 2 Combine like terms: 0 + 2 = 2 7ln + 4lnx = 2 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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