7-8ln(3-x)=-15

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Solution for 7-8ln(3-x)=-15 equation:


Simplifying
7 + -8ln(3 + -1x) = -15
7 + (3 * -8ln + -1x * -8ln) = -15
7 + (-24ln + 8lnx) = -15

Solving
7 + -24ln + 8lnx = -15

Solving for variable 'l'.

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

Add '-7' to each side of the equation.
7 + -24ln + -7 + 8lnx = -15 + -7

Reorder the terms:
7 + -7 + -24ln + 8lnx = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -24ln + 8lnx = -15 + -7
-24ln + 8lnx = -15 + -7

Combine like terms: -15 + -7 = -22
-24ln + 8lnx = -22

Reorder the terms:
22 + -24ln + 8lnx = -22 + 22

Combine like terms: -22 + 22 = 0
22 + -24ln + 8lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + -12ln + 4lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(11 + -12ln + 4lnx)' equal to zero and attempt to solve: Simplifying 11 + -12ln + 4lnx = 0 Solving 11 + -12ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -12ln + -11 + 4lnx = 0 + -11 Reorder the terms: 11 + -11 + -12ln + 4lnx = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -12ln + 4lnx = 0 + -11 -12ln + 4lnx = 0 + -11 Combine like terms: 0 + -11 = -11 -12ln + 4lnx = -11 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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