0=26ln(2x+5)

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Solution for 0=26ln(2x+5) equation:


Simplifying
0 = 26ln(2x + 5)

Reorder the terms:
0 = 26ln(5 + 2x)
0 = (5 * 26ln + 2x * 26ln)
0 = (130ln + 52lnx)

Solving
0 = 130ln + 52lnx

Solving for variable 'l'.

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

Add '-130ln' to each side of the equation.
0 + -130ln = 130ln + -130ln + 52lnx
Remove the zero:
-130ln = 130ln + -130ln + 52lnx

Combine like terms: 130ln + -130ln = 0
-130ln = 0 + 52lnx
-130ln = 52lnx

Add '-52lnx' to each side of the equation.
-130ln + -52lnx = 52lnx + -52lnx

Combine like terms: 52lnx + -52lnx = 0
-130ln + -52lnx = 0

Factor out the Greatest Common Factor (GCF), '-26ln'.
-26ln(5 + 2x) = 0

Ignore the factor -26.

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 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x 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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