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

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


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

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

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

Reorder the terms:
-4ln + 1ln + lnx + 4lnx = 8

Combine like terms: -4ln + 1ln = -3ln
-3ln + lnx + 4lnx = 8

Combine like terms: lnx + 4lnx = 5lnx
-3ln + 5lnx = 8

Solving
-3ln + 5lnx = 8

Solving for variable 'l'.

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

Reorder the terms:
-8 + -3ln + 5lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -3ln + 5lnx = 0

The solution to this equation could not be determined.

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