Find the exact value of each expression.(a)ln1e (b)log17(17)

(a) ln1e

The natural logarithm of a number is the power to which e would have to be raised to equal that number. The base e is an irrational and transcendental number approximately equal to 2.71828.

In this case, we have ln1e which is equivalent to ln(e^1) because any number raised to the power of 1 is the number itself.

The natural logarithm of e to the power of 1 is 1 because e to the power of 1 equals e, and the power to which e would have to be raised to equal e is 1.

So, ln1e = 1.

(b) log17(17)

The logarithm base 17 of 17 is asking the question "17 to the power of what number equals 17?"

Since any number raised to the power of 1 is the number itself, 17 to the power of 1 equals 17.

So, log17(17) = 1.