3-4ln(8x-1)=11

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Solution for 3-4ln(8x-1)=11 equation:


Simplifying
3 + -4ln(8x + -1) = 11

Reorder the terms:
3 + -4ln(-1 + 8x) = 11
3 + (-1 * -4ln + 8x * -4ln) = 11
3 + (4ln + -32lnx) = 11

Solving
3 + 4ln + -32lnx = 11

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 + 4ln + -3 + -32lnx = 11 + -3

Reorder the terms:
3 + -3 + 4ln + -32lnx = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 4ln + -32lnx = 11 + -3
4ln + -32lnx = 11 + -3

Combine like terms: 11 + -3 = 8
4ln + -32lnx = 8

Reorder the terms:
-8 + 4ln + -32lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 4ln + -32lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + ln + -8lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2 + ln + -8lnx)' equal to zero and attempt to solve: Simplifying -2 + ln + -8lnx = 0 Solving -2 + ln + -8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ln + 2 + -8lnx = 0 + 2 Reorder the terms: -2 + 2 + ln + -8lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ln + -8lnx = 0 + 2 ln + -8lnx = 0 + 2 Combine like terms: 0 + 2 = 2 ln + -8lnx = 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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