=30ln(2x-80)

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Solution for =30ln(2x-80) equation:


Simplifying
0 = 30ln(2x + -80)

Reorder the terms:
0 = 30ln(-80 + 2x)
0 = (-80 * 30ln + 2x * 30ln)
0 = (-2400ln + 60lnx)

Solving
0 = -2400ln + 60lnx

Solving for variable 'l'.

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

Add '2400ln' to each side of the equation.
0 + 2400ln = -2400ln + 2400ln + 60lnx
Remove the zero:
2400ln = -2400ln + 2400ln + 60lnx

Combine like terms: -2400ln + 2400ln = 0
2400ln = 0 + 60lnx
2400ln = 60lnx

Add '-60lnx' to each side of the equation.
2400ln + -60lnx = 60lnx + -60lnx

Combine like terms: 60lnx + -60lnx = 0
2400ln + -60lnx = 0

Factor out the Greatest Common Factor (GCF), '60ln'.
60ln(40 + -1x) = 0

Ignore the factor 60.

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 '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Add 'x' to each side of the equation. -1x + x = -40 + x Combine like terms: -1x + x = 0 0 = -40 + x Simplifying 0 = -40 + x 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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