=x^9ln(e^9x+1)

Solution for =x^9ln(e^9x+1) equation:

Simplifying
0 = x9ln(e9x + 1)

Reorder the terms:
0 = lnx9(1 + e9x)
0 = (1 * lnx9 + e9x * lnx9)

Reorder the terms:
0 = (e9lnx10 + 1lnx9)
0 = (e9lnx10 + 1lnx9)

Solving
0 = e9lnx10 + 1lnx9

Solving for variable 'e'.

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

Add '-1e9lnx10' to each side of the equation.
0 + -1e9lnx10 = e9lnx10 + -1e9lnx10 + 1lnx9
Remove the zero:
-1e9lnx10 = e9lnx10 + -1e9lnx10 + 1lnx9

Combine like terms: e9lnx10 + -1e9lnx10 = 0
-1e9lnx10 = 0 + 1lnx9
-1e9lnx10 = 1lnx9

Divide each side by '-1lnx10'.
e9 = -1x-1

Simplifying
e9 = -1x-1

Combine like terms: -1x-1 + x-1 = 0
e9 + x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e9x + 1) = 0

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

Simplifying
x-1 = 0

Solving
x-1 = 0

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

Add '-1x-1' to each side of the equation.
x-1 + -1x-1 = 0 + -1x-1
Remove the zero:
0 = -1x-1

Simplifying
0 = -1x-1

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 '(e9x + 1)' equal to zero and attempt to solve:

Simplifying
e9x + 1 = 0

Reorder the terms:
1 + e9x = 0

Solving
1 + e9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + e9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + e9x = 0 + -1
e9x = 0 + -1

Combine like terms: 0 + -1 = -1
e9x = -1

Divide each side by 'x'.
e9 = -1x-1

Simplifying
e9 = -1x-1

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.