Question

Solve for x.ln(x) - ln(x - 4) = 0

Answer 1

In(x) - In(x - 4) = 0

`\begin{gathered} In\text{ }\frac{x}{x\text{ - 4}}\text{ = 0} \\ In(1)\text{ = 0} \\ \text{Therefore,} \\ In\text{ (}\frac{x}{x\text{ - 4}})\text{ = In (1)} \\ \frac{x}{x\text{ - 4}}\text{ = 1} \\ \text{Cross multiply} \\ x\text{ = 1(x - 4)} \\ x\text{ = x - 4} \end{gathered}`

From the step-by-step explanation, the equation has zero solution.