=ln(5x^3+16x^2)

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Solution for =ln(5x^3+16x^2) equation:


Simplifying
0 = ln(5x3 + 16x2)

Reorder the terms:
0 = ln(16x2 + 5x3)
0 = (16x2 * ln + 5x3 * ln)
0 = (16lnx2 + 5lnx3)

Solving
0 = 16lnx2 + 5lnx3

Solving for variable 'l'.

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

Add '-16lnx2' to each side of the equation.
0 + -16lnx2 = 16lnx2 + -16lnx2 + 5lnx3
Remove the zero:
-16lnx2 = 16lnx2 + -16lnx2 + 5lnx3

Combine like terms: 16lnx2 + -16lnx2 = 0
-16lnx2 = 0 + 5lnx3
-16lnx2 = 5lnx3

Add '-5lnx3' to each side of the equation.
-16lnx2 + -5lnx3 = 5lnx3 + -5lnx3

Combine like terms: 5lnx3 + -5lnx3 = 0
-16lnx2 + -5lnx3 = 0

Factor out the Greatest Common Factor (GCF), '-1lnx2'.
-1lnx2(16 + 5x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'lnx2' equal to zero and attempt to solve: Simplifying lnx2 = 0 Solving lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx2 = 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 '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing l to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Add '-5x' to each side of the equation. 5x + -5x = -16 + -5x Combine like terms: 5x + -5x = 0 0 = -16 + -5x Simplifying 0 = -16 + -5x 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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