=(ln(8*x+5))(x^4)

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Solution for =(ln(8*x+5))(x^4) equation:


Simplifying
0 = (ln(8x + 5))(x4)

Reorder the terms:
0 = (ln(5 + 8x))(x4)
0 = ((5 * ln + 8x * ln))(x4)
0 = ((5ln + 8lnx))(x4)

Reorder the terms for easier multiplication:
0 = x4(5ln + 8lnx)
0 = (5ln * x4 + 8lnx * x4)
0 = (5lnx4 + 8lnx5)

Solving
0 = 5lnx4 + 8lnx5

Solving for variable 'l'.

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

Add '-5lnx4' to each side of the equation.
0 + -5lnx4 = 5lnx4 + -5lnx4 + 8lnx5
Remove the zero:
-5lnx4 = 5lnx4 + -5lnx4 + 8lnx5

Combine like terms: 5lnx4 + -5lnx4 = 0
-5lnx4 = 0 + 8lnx5
-5lnx4 = 8lnx5

Add '-8lnx5' to each side of the equation.
-5lnx4 + -8lnx5 = 8lnx5 + -8lnx5

Combine like terms: 8lnx5 + -8lnx5 = 0
-5lnx4 + -8lnx5 = 0

Factor out the Greatest Common Factor (GCF), '-1lnx4'.
-1lnx4(5 + 8x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'lnx4' equal to zero and attempt to solve:

Simplifying
lnx4 = 0

Solving
lnx4 = 0

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

Simplifying
lnx4 = 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 '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Add '-8x' to each side of the equation.
8x + -8x = -5 + -8x

Combine like terms: 8x + -8x = 0
0 = -5 + -8x

Simplifying
0 = -5 + -8x

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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