13=41-5ln(2x+14)

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Solution for 13=41-5ln(2x+14) equation:


Simplifying
13 = 41 + -5ln(2x + 14)

Reorder the terms:
13 = 41 + -5ln(14 + 2x)
13 = 41 + (14 * -5ln + 2x * -5ln)
13 = 41 + (-70ln + -10lnx)

Solving
13 = 41 + -70ln + -10lnx

Solving for variable 'l'.

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

Add '70ln' to each side of the equation.
13 + 70ln = 41 + -70ln + 70ln + -10lnx

Combine like terms: -70ln + 70ln = 0
13 + 70ln = 41 + 0 + -10lnx
13 + 70ln = 41 + -10lnx

Add '10lnx' to each side of the equation.
13 + 70ln + 10lnx = 41 + -10lnx + 10lnx

Combine like terms: -10lnx + 10lnx = 0
13 + 70ln + 10lnx = 41 + 0
13 + 70ln + 10lnx = 41

Add '-13' to each side of the equation.
13 + 70ln + -13 + 10lnx = 41 + -13

Reorder the terms:
13 + -13 + 70ln + 10lnx = 41 + -13

Combine like terms: 13 + -13 = 0
0 + 70ln + 10lnx = 41 + -13
70ln + 10lnx = 41 + -13

Combine like terms: 41 + -13 = 28
70ln + 10lnx = 28

Reorder the terms:
-28 + 70ln + 10lnx = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 70ln + 10lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 35ln + 5lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-14 + 35ln + 5lnx)' equal to zero and attempt to solve: Simplifying -14 + 35ln + 5lnx = 0 Solving -14 + 35ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 35ln + 14 + 5lnx = 0 + 14 Reorder the terms: -14 + 14 + 35ln + 5lnx = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 35ln + 5lnx = 0 + 14 35ln + 5lnx = 0 + 14 Combine like terms: 0 + 14 = 14 35ln + 5lnx = 14 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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