Ln(24x-9)=Ln(12)

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Solution for Ln(24x-9)=Ln(12) equation:


Simplifying
Ln(24x + -9) = Ln(12)

Reorder the terms:
nL(-9 + 24x) = Ln(12)
(-9 * nL + 24x * nL) = Ln(12)
(-9nL + 24nxL) = Ln(12)

Reorder the terms for easier multiplication:
-9nL + 24nxL = 12nL

Solving
-9nL + 24nxL = 12nL

Solving for variable 'n'.

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

Add '-12nL' to each side of the equation.
-9nL + -12nL + 24nxL = 12nL + -12nL

Combine like terms: -9nL + -12nL = -21nL
-21nL + 24nxL = 12nL + -12nL

Combine like terms: 12nL + -12nL = 0
-21nL + 24nxL = 0

Factor out the Greatest Common Factor (GCF), '3nL'.
3nL(-7 + 8x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 '(-7 + 8x)' equal to zero and attempt to solve: Simplifying -7 + 8x = 0 Solving -7 + 8x = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 0 + 7 8x = 0 + 7 Combine like terms: 0 + 7 = 7 8x = 7 Add '-8x' to each side of the equation. 8x + -8x = 7 + -8x Combine like terms: 8x + -8x = 0 0 = 7 + -8x Simplifying 0 = 7 + -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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