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Simplifying In(x) + ln(x + 3) = ln(4) Multiply nI * x nxI + ln(x + 3) = ln(4) Reorder the terms: nxI + ln(3 + x) = ln(4) nxI + (3 * ln + x * ln) = ln(4) nxI + (3ln + lnx) = ln(4) Reorder the terms: 3ln + lnx + nxI = ln(4) Reorder the terms for easier multiplication: 3ln + lnx + nxI = 4ln Solving 3ln + lnx + nxI = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 3ln + lnx + -4ln + nxI = 4ln + -4ln Reorder the terms: 3ln + -4ln + lnx + nxI = 4ln + -4ln Combine like terms: 3ln + -4ln = -1ln -1ln + lnx + nxI = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 -1ln + lnx + nxI = 0 Add '-1nxI' to each side of the equation. -1ln + lnx + nxI + -1nxI = 0 + -1nxI Combine like terms: nxI + -1nxI = 0 -1ln + lnx + 0 = 0 + -1nxI -1ln + lnx = 0 + -1nxI Remove the zero: -1ln + lnx = -1nxI Combine like terms: -1nxI + nxI = 0 -1ln + lnx + nxI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-1l + lx + xI) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-1l + lx + xI)' equal to zero and attempt to solve: Simplifying -1l + lx + xI = 0 Solving -1l + lx + xI = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xI' to each side of the equation. -1l + lx + xI + -1xI = 0 + -1xI Combine like terms: xI + -1xI = 0 -1l + lx + 0 = 0 + -1xI -1l + lx = 0 + -1xI Remove the zero: -1l + lx = -1xI 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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