Q:

ln x + ln (x + 1) = ln 56

Accepted Solution

A:
Answer:Reorder the terms:ln(-1 + x) + ln(x) = ln(56)(-1 * ln + x * ln) + ln(x) = ln(56)(-1ln + lnx) + ln(x) = ln(56)Multiply ln * x-1ln + lnx + lnx = ln(56)Combine like terms: lnx + lnx = 2lnx-1ln + 2lnx = ln(56)Reorder the terms for easier multiplication:-1ln + 2lnx = 56lnSolving-1ln + 2lnx = 56lnSolving for variable 'l'.Move all terms containing l to the left, all other terms to the right.Add '-56ln' to each side of the equation.-1ln + -56ln + 2lnx = 56ln + -56lnCombine like terms: -1ln + -56ln = -57ln-57ln + 2lnx = 56ln + -56lnCombine like terms: 56ln + -56ln = 0-57ln + 2lnx = 0Factor out the Greatest Common Factor (GCF), 'ln'.ln(-57 + 2x) = 0Step-by-step explanation: