=ln((T^3)-5t+6)

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Solution for =ln((T^3)-5t+6) equation:


Simplifying
0 = ln((T3) + -5t + 6)
0 = ln(T3 + -5t + 6)

Reorder the terms:
0 = ln(6 + T3 + -5t)
0 = (6 * ln + T3 * ln + -5t * ln)
0 = (6ln + lnT3 + -5lnt)

Solving
0 = 6ln + lnT3 + -5lnt

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
0 + -6ln = 6ln + lnT3 + -6ln + -5lnt
Remove the zero:
-6ln = 6ln + lnT3 + -6ln + -5lnt

Reorder the terms:
-6ln = 6ln + -6ln + lnT3 + -5lnt

Combine like terms: 6ln + -6ln = 0
-6ln = 0 + lnT3 + -5lnt
-6ln = lnT3 + -5lnt

Add '-1lnT3' to each side of the equation.
-6ln + -1lnT3 = lnT3 + -1lnT3 + -5lnt

Combine like terms: lnT3 + -1lnT3 = 0
-6ln + -1lnT3 = 0 + -5lnt
-6ln + -1lnT3 = -5lnt

Add '5lnt' to each side of the equation.
-6ln + -1lnT3 + 5lnt = -5lnt + 5lnt

Combine like terms: -5lnt + 5lnt = 0
-6ln + -1lnT3 + 5lnt = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-6 + -1T3 + 5t) = 0

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 '(-6 + -1T3 + 5t)' equal to zero and attempt to solve: Simplifying -6 + -1T3 + 5t = 0 Solving -6 + -1T3 + 5t = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1T3 + 6 + 5t = 0 + 6 Reorder the terms: -6 + 6 + -1T3 + 5t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1T3 + 5t = 0 + 6 -1T3 + 5t = 0 + 6 Combine like terms: 0 + 6 = 6 -1T3 + 5t = 6 Add 'T3' to each side of the equation. -1T3 + T3 + 5t = 6 + T3 Combine like terms: -1T3 + T3 = 0 0 + 5t = 6 + T3 5t = 6 + T3 Add '-5t' to each side of the equation. 5t + -5t = 6 + T3 + -5t Combine like terms: 5t + -5t = 0 0 = 6 + T3 + -5t Simplifying 0 = 6 + T3 + -5t 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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