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Simplifying Ln(x) + ln(x + -48) = 2ln(10) Multiply nL * x nxL + ln(x + -48) = 2ln(10) Reorder the terms: nxL + ln(-48 + x) = 2ln(10) nxL + (-48 * ln + x * ln) = 2ln(10) nxL + (-48ln + lnx) = 2ln(10) Reorder the terms: -48ln + lnx + nxL = 2ln(10) Reorder the terms for easier multiplication: -48ln + lnx + nxL = 2 * 10ln Multiply 2 * 10 -48ln + lnx + nxL = 20ln Solving -48ln + lnx + nxL = 20ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-20ln' to each side of the equation. -48ln + lnx + -20ln + nxL = 20ln + -20ln Reorder the terms: -48ln + -20ln + lnx + nxL = 20ln + -20ln Combine like terms: -48ln + -20ln = -68ln -68ln + lnx + nxL = 20ln + -20ln Combine like terms: 20ln + -20ln = 0 -68ln + lnx + nxL = 0 Add '-1nxL' to each side of the equation. -68ln + lnx + nxL + -1nxL = 0 + -1nxL Combine like terms: nxL + -1nxL = 0 -68ln + lnx + 0 = 0 + -1nxL -68ln + lnx = 0 + -1nxL Remove the zero: -68ln + lnx = -1nxL Combine like terms: -1nxL + nxL = 0 -68ln + lnx + nxL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-68l + lx + xL) = 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 '(-68l + lx + xL)' equal to zero and attempt to solve: Simplifying -68l + lx + xL = 0 Solving -68l + lx + xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-1xL' to each side of the equation. -68l + lx + xL + -1xL = 0 + -1xL Combine like terms: xL + -1xL = 0 -68l + lx + 0 = 0 + -1xL -68l + lx = 0 + -1xL Remove the zero: -68l + lx = -1xL 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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