Algebra-1

We are given the equation  where a > 0 and a ≠ 1.

According to the properties of exponents, if  (where a > 0 and a ≠ 1), then .

This is based on the one-to-one property of exponential functions. For a fixed base  (where  and ), different exponents will result in different values of the exponential expression, except when the exponents are equal.

For example, if , then  must equal . Say  and

Click "Show Answer" to reveal the answer and analysis