Ln(x+4)ln(x+6)=5

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Solution for Ln(x+4)ln(x+6)=5 equation:


Simplifying
Ln(x + 4) * ln(x + 6) = 5

Reorder the terms:
nL(4 + x) * ln(x + 6) = 5

Reorder the terms:
nL(4 + x) * ln(6 + x) = 5

Reorder the terms for easier multiplication:
nL * ln(4 + x)(6 + x) = 5

Multiply nL * ln
ln2L(4 + x)(6 + x) = 5

Multiply (4 + x) * (6 + x)
ln2L(4(6 + x) + x(6 + x)) = 5
ln2L((6 * 4 + x * 4) + x(6 + x)) = 5
ln2L((24 + 4x) + x(6 + x)) = 5
ln2L(24 + 4x + (6 * x + x * x)) = 5
ln2L(24 + 4x + (6x + x2)) = 5

Combine like terms: 4x + 6x = 10x
ln2L(24 + 10x + x2) = 5
(24 * ln2L + 10x * ln2L + x2 * ln2L) = 5
(24ln2L + 10ln2xL + ln2x2L) = 5

Solving
24ln2L + 10ln2xL + ln2x2L = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + 24ln2L + 10ln2xL + ln2x2L = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 24ln2L + 10ln2xL + ln2x2L = 0

The solution to this equation could not be determined.

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