ln(x+5)*ln(x+5)*ln(x+5)+12=21

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Solution for ln(x+5)*ln(x+5)*ln(x+5)+12=21 equation: 


Simplifying
ln(x + 5) * ln(x + 5) * ln(x + 5) + 12 = 21

Reorder the terms:
ln(5 + x) * ln(x + 5) * ln(x + 5) + 12 = 21

Reorder the terms:
ln(5 + x) * ln(5 + x) * ln(x + 5) + 12 = 21

Reorder the terms:
ln(5 + x) * ln(5 + x) * ln(5 + x) + 12 = 21

Reorder the terms for easier multiplication:
ln * ln * ln(5 + x)(5 + x)(5 + x) + 12 = 21

Multiply ln * ln
l2n2 * ln(5 + x)(5 + x)(5 + x) + 12 = 21

Multiply l2n2 * ln
l3n3(5 + x)(5 + x)(5 + x) + 12 = 21

Multiply (5 + x) * (5 + x)
l3n3(5(5 + x) + x(5 + x))(5 + x) + 12 = 21
l3n3((5 * 5 + x * 5) + x(5 + x))(5 + x) + 12 = 21
l3n3((25 + 5x) + x(5 + x))(5 + x) + 12 = 21
l3n3(25 + 5x + (5 * x + x * x))(5 + x) + 12 = 21
l3n3(25 + 5x + (5x + x2))(5 + x) + 12 = 21

Combine like terms: 5x + 5x = 10x
l3n3(25 + 10x + x2)(5 + x) + 12 = 21

Multiply (25 + 10x + x2) * (5 + x)
l3n3(25(5 + x) + 10x * (5 + x) + x2(5 + x)) + 12 = 21
l3n3((5 * 25 + x * 25) + 10x * (5 + x) + x2(5 + x)) + 12 = 21
l3n3((125 + 25x) + 10x * (5 + x) + x2(5 + x)) + 12 = 21
l3n3(125 + 25x + (5 * 10x + x * 10x) + x2(5 + x)) + 12 = 21
l3n3(125 + 25x + (50x + 10x2) + x2(5 + x)) + 12 = 21
l3n3(125 + 25x + 50x + 10x2 + (5 * x2 + x * x2)) + 12 = 21
l3n3(125 + 25x + 50x + 10x2 + (5x2 + x3)) + 12 = 21

Combine like terms: 25x + 50x = 75x
l3n3(125 + 75x + 10x2 + 5x2 + x3) + 12 = 21

Combine like terms: 10x2 + 5x2 = 15x2
l3n3(125 + 75x + 15x2 + x3) + 12 = 21
(125 * l3n3 + 75x * l3n3 + 15x2 * l3n3 + x3 * l3n3) + 12 = 21
(125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3) + 12 = 21

Reorder the terms:
12 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 21

Solving
12 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 21

Solving for variable 'l'.

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

Add '-12' to each side of the equation.
12 + 125l3n3 + 75l3n3x + 15l3n3x2 + -12 + l3n3x3 = 21 + -12

Reorder the terms:
12 + -12 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 21 + -12
125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 21 + -12

Combine like terms: 21 + -12 = 9
125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 9

Reorder the terms:
-9 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + 125l3n3 + 75l3n3x + 15l3n3x2 + l3n3x3 = 0

The solution to this equation could not be determined.

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