ln(2x-5)+ln(16+4x)=2

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Solution for ln(2x-5)+ln(16+4x)=2 equation:


Simplifying
ln(2x + -5) + ln(16 + 4x) = 2

Reorder the terms:
ln(-5 + 2x) + ln(16 + 4x) = 2
(-5 * ln + 2x * ln) + ln(16 + 4x) = 2
(-5ln + 2lnx) + ln(16 + 4x) = 2
-5ln + 2lnx + (16 * ln + 4x * ln) = 2
-5ln + 2lnx + (16ln + 4lnx) = 2

Reorder the terms:
-5ln + 16ln + 2lnx + 4lnx = 2

Combine like terms: -5ln + 16ln = 11ln
11ln + 2lnx + 4lnx = 2

Combine like terms: 2lnx + 4lnx = 6lnx
11ln + 6lnx = 2

Solving
11ln + 6lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + 11ln + 6lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 11ln + 6lnx = 0

The solution to this equation could not be determined.

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