(3x)ln(4)=ln(62)

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Solution for (3x)ln(4)=ln(62) equation:


Simplifying
(3x) * ln(4) = ln(62)

Remove parenthesis around (3x)
3x * ln(4) = ln(62)

Reorder the terms for easier multiplication:
3 * 4x * ln = ln(62)

Multiply 3 * 4
12x * ln = ln(62)

Multiply x * ln
12lnx = ln(62)

Reorder the terms for easier multiplication:
12lnx = 62ln

Solving
12lnx = 62ln

Solving for variable 'l'.

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

Add '-62ln' to each side of the equation.
-62ln + 12lnx = 62ln + -62ln

Combine like terms: 62ln + -62ln = 0
-62ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-31 + 6x) = 0

Ignore the factor 2.

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 '(-31 + 6x)' equal to zero and attempt to solve: Simplifying -31 + 6x = 0 Solving -31 + 6x = 0 Move all terms containing l to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 6x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 0 + 31 6x = 0 + 31 Combine like terms: 0 + 31 = 31 6x = 31 Add '-6x' to each side of the equation. 6x + -6x = 31 + -6x Combine like terms: 6x + -6x = 0 0 = 31 + -6x Simplifying 0 = 31 + -6x 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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