ln(2x+5)+ln(x-9)-2=0

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Solution for ln(2x+5)+ln(x-9)-2=0 equation:


Simplifying
ln(2x + 5) + ln(x + -9) + -2 = 0

Reorder the terms:
ln(5 + 2x) + ln(x + -9) + -2 = 0
(5 * ln + 2x * ln) + ln(x + -9) + -2 = 0
(5ln + 2lnx) + ln(x + -9) + -2 = 0

Reorder the terms:
5ln + 2lnx + ln(-9 + x) + -2 = 0
5ln + 2lnx + (-9 * ln + x * ln) + -2 = 0
5ln + 2lnx + (-9ln + lnx) + -2 = 0

Reorder the terms:
-2 + 5ln + -9ln + 2lnx + lnx = 0

Combine like terms: 5ln + -9ln = -4ln
-2 + -4ln + 2lnx + lnx = 0

Combine like terms: 2lnx + lnx = 3lnx
-2 + -4ln + 3lnx = 0

Solving
-2 + -4ln + 3lnx = 0

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + -4ln + 2 + 3lnx = 0 + 2

Reorder the terms:
-2 + 2 + -4ln + 3lnx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -4ln + 3lnx = 0 + 2
-4ln + 3lnx = 0 + 2

Combine like terms: 0 + 2 = 2
-4ln + 3lnx = 2

Reorder the terms:
-2 + -4ln + 3lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -4ln + 3lnx = 0

The solution to this equation could not be determined.

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