Introduction: In this problem, we are given an expression a^log a to base b and we need to determine its value.

Explanation:

To determine the value of a^log a to base b, we need to first simplify the expression.

We know that log a to base b can be written as log b / log a. Therefore, we can rewrite the expression as:

a^(log b / log a)

Now, we can apply the exponent rule which states that a^(b/c) = (a^b)^(1/c). Therefore, we can rewrite the expression as:

(a^log b)^(1/log a)

Now, we can use the fact that a^log b to base a is equal to b. Therefore, we can rewrite the expression as:

b^(1/log a)

This is the final expression and we cannot simplify it any further.

Conclusion:

The value of a^log a to base b is b^(1/log a).

Is it 1/a × loga