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 = 5ln
5ln + lnx + 4lnx = 8

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

Solving
5ln + 5lnx = 8

Solving for variable 'l'.

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

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

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

The solution to this equation could not be determined.

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