已知 $x=\ln(2y-3)-\ln(y+4)$。

用 $x$ 表示 $y$。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

先确认原式中两个对数的真数都为正，再合并成商的对数，指数化并解出 $y$。

The original logarithms require $y>3/2$. Combining them,

Thus

Therefore

For $y>3/2$, the original ratio lies between $0$ and $2$, so the corresponding range of $x$ is $x<\ln2$.