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对于指数式a~b(a＞0,a≠1),它何时大于1,何时小于1?对于对数式log_ab(a＞0,a≠1),它又何时大于0,何时小于0?许多同学在这些问题上容易出现错误．由指数函数与对数函数的图像不难得到下面两个结论：1．a~b＞1(?)a与b同步(即a＞1且b＞0,或0＜a＜1且b＜0)；a~b＜1(?)与b异步(即a＞1但b＜0,或0＜a＜1但b＞0)．
For the exponents a~b (a>0, a≠1), when is it greater than 1 and when is less than 1? When is the logarithm log_ab (a>0, a≠1), when is it greater than 0, when? Less than 0? Many students are prone to errors on these issues. It is not difficult to get the following two conclusions from the image of the exponential function and the logarithmic function: 1. a~b>1(?)a is synchronous with b (that is, a>1 and b>0, or 01 But b<0, or 00).