3-4ln(8x+1)=7

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Solution for 3-4ln(8x+1)=7 equation:


Simplifying
3 + -4ln(8x + 1) = 7

Reorder the terms:
3 + -4ln(1 + 8x) = 7
3 + (1 * -4ln + 8x * -4ln) = 7
3 + (-4ln + -32lnx) = 7

Solving
3 + -4ln + -32lnx = 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 + -4ln + -3 + -32lnx = 7 + -3

Reorder the terms:
3 + -3 + -4ln + -32lnx = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -4ln + -32lnx = 7 + -3
-4ln + -32lnx = 7 + -3

Combine like terms: 7 + -3 = 4
-4ln + -32lnx = 4

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

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

Factor out the Greatest Common Factor (GCF), '-4'.
-4(1 + ln + 8lnx) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(1 + ln + 8lnx)' equal to zero and attempt to solve: Simplifying 1 + ln + 8lnx = 0 Solving 1 + ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ln + -1 + 8lnx = 0 + -1 Reorder the terms: 1 + -1 + ln + 8lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ln + 8lnx = 0 + -1 ln + 8lnx = 0 + -1 Combine like terms: 0 + -1 = -1 ln + 8lnx = -1 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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