11lnx-lnx^9=ln(4x+32)

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Solution for 11lnx-lnx^9=ln(4x+32) equation: 


Simplifying
11lnx + -1lnx9 = ln(4x + 32)

Reorder the terms:
11lnx + -1lnx9 = ln(32 + 4x)
11lnx + -1lnx9 = (32 * ln + 4x * ln)
11lnx + -1lnx9 = (32ln + 4lnx)

Solving
11lnx + -1lnx9 = 32ln + 4lnx

Solving for variable 'l'.

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

Add '-32ln' to each side of the equation.
11lnx + -32ln + -1lnx9 = 32ln + -32ln + 4lnx

Reorder the terms:
-32ln + 11lnx + -1lnx9 = 32ln + -32ln + 4lnx

Combine like terms: 32ln + -32ln = 0
-32ln + 11lnx + -1lnx9 = 0 + 4lnx
-32ln + 11lnx + -1lnx9 = 4lnx

Add '-4lnx' to each side of the equation.
-32ln + 11lnx + -4lnx + -1lnx9 = 4lnx + -4lnx

Combine like terms: 11lnx + -4lnx = 7lnx
-32ln + 7lnx + -1lnx9 = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-32ln + 7lnx + -1lnx9 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-32 + 7x + -1x9) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-32 + 7x + -1x9)' equal to zero and attempt to solve:

Simplifying
-32 + 7x + -1x9 = 0

Solving
-32 + 7x + -1x9 = 0

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

Add '32' to each side of the equation.
-32 + 7x + 32 + -1x9 = 0 + 32

Reorder the terms:
-32 + 32 + 7x + -1x9 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 7x + -1x9 = 0 + 32
7x + -1x9 = 0 + 32

Combine like terms: 0 + 32 = 32
7x + -1x9 = 32

Add '-7x' to each side of the equation.
7x + -7x + -1x9 = 32 + -7x

Combine like terms: 7x + -7x = 0
0 + -1x9 = 32 + -7x
-1x9 = 32 + -7x

Add 'x9' to each side of the equation.
-1x9 + x9 = 32 + -7x + x9

Combine like terms: -1x9 + x9 = 0
0 = 32 + -7x + x9

Simplifying
0 = 32 + -7x + x9

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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