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Simplifying Iny = 5ln(2x) Remove parenthesis around (2x) nyI = 5ln * 2x Reorder the terms for easier multiplication: nyI = 5 * 2ln * x Multiply 5 * 2 nyI = 10ln * x Multiply ln * x nyI = 10lnx Solving nyI = 10lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10lnx' to each side of the equation. -10lnx + nyI = 10lnx + -10lnx Combine like terms: 10lnx + -10lnx = 0 -10lnx + nyI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-10lx + yI) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-10lx + yI)' equal to zero and attempt to solve: Simplifying -10lx + yI = 0 Solving -10lx + yI = 0 Move all terms containing n to the left, all other terms to the right. Add '10lx' to each side of the equation. -10lx + 10lx + yI = 0 + 10lx Combine like terms: -10lx + 10lx = 0 0 + yI = 0 + 10lx yI = 0 + 10lx Remove the zero: yI = 10lx Add '-1yI' to each side of the equation. yI + -1yI = 10lx + -1yI Combine like terms: yI + -1yI = 0 0 = 10lx + -1yI Simplifying 0 = 10lx + -1yI The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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