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Simplifying ln(y) = ln(ax2 + b) Multiply ln * y lny = ln(ax2 + b) lny = (ax2 * ln + b * ln) lny = (alnx2 + bln) Solving lny = alnx2 + bln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1alnx2' to each side of the equation. -1alnx2 + lny = alnx2 + -1alnx2 + bln Combine like terms: alnx2 + -1alnx2 = 0 -1alnx2 + lny = 0 + bln -1alnx2 + lny = bln Add '-1bln' to each side of the equation. -1alnx2 + -1bln + lny = bln + -1bln Combine like terms: bln + -1bln = 0 -1alnx2 + -1bln + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1ax2 + -1b + y) = 0Subproblem 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 '(-1ax2 + -1b + y)' equal to zero and attempt to solve: Simplifying -1ax2 + -1b + y = 0 Solving -1ax2 + -1b + y = 0 Move all terms containing l to the left, all other terms to the right. Add 'ax2' to each side of the equation. -1ax2 + -1b + ax2 + y = 0 + ax2 Reorder the terms: -1ax2 + ax2 + -1b + y = 0 + ax2 Combine like terms: -1ax2 + ax2 = 0 0 + -1b + y = 0 + ax2 -1b + y = 0 + ax2 Remove the zero: -1b + y = ax2 Add 'b' to each side of the equation. -1b + b + y = ax2 + b Combine like terms: -1b + b = 0 0 + y = ax2 + b y = ax2 + b Add '-1y' to each side of the equation. y + -1y = ax2 + b + -1y Combine like terms: y + -1y = 0 0 = ax2 + b + -1y Simplifying 0 = ax2 + b + -1y 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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