8ln(2x-7)-3=7

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Solution for 8ln(2x-7)-3=7 equation: 


Simplifying
8ln(2x + -7) + -3 = 7

Reorder the terms:
8ln(-7 + 2x) + -3 = 7
(-7 * 8ln + 2x * 8ln) + -3 = 7
(-56ln + 16lnx) + -3 = 7

Reorder the terms:
-3 + -56ln + 16lnx = 7

Solving
-3 + -56ln + 16lnx = 7

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + -56ln + 3 + 16lnx = 7 + 3

Reorder the terms:
-3 + 3 + -56ln + 16lnx = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -56ln + 16lnx = 7 + 3
-56ln + 16lnx = 7 + 3

Combine like terms: 7 + 3 = 10
-56ln + 16lnx = 10

Reorder the terms:
-10 + -56ln + 16lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -56ln + 16lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -28ln + 8lnx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -28ln + 8lnx)' equal to zero and attempt to solve:

Simplifying
-5 + -28ln + 8lnx = 0

Solving
-5 + -28ln + 8lnx = 0

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

Add '5' to each side of the equation.
-5 + -28ln + 5 + 8lnx = 0 + 5

Reorder the terms:
-5 + 5 + -28ln + 8lnx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -28ln + 8lnx = 0 + 5
-28ln + 8lnx = 0 + 5

Combine like terms: 0 + 5 = 5
-28ln + 8lnx = 5

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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