=ln(4x+5)

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


Simplifying
0 = ln(4x + 5)

Reorder the terms:
0 = ln(5 + 4x)
0 = (5 * ln + 4x * ln)
0 = (5ln + 4lnx)

Solving
0 = 5ln + 4lnx

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
0 + -5ln = 5ln + -5ln + 4lnx
Remove the zero:
-5ln = 5ln + -5ln + 4lnx

Combine like terms: 5ln + -5ln = 0
-5ln = 0 + 4lnx
-5ln = 4lnx

Add '-4lnx' to each side of the equation.
-5ln + -4lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-5ln + -4lnx = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(5 + 4x) = 0

Ignore the factor -1.

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 '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Add '-4x' to each side of the equation. 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 0 = -5 + -4x Simplifying 0 = -5 + -4x 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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