Answer
$\boxed{e}$
Work Step by Step
$a^{\frac{1}{\ln{a}}} = e^{\ln\big(a^{\frac{1}{\ln{a}}}\big)} = e^{\frac{1}{\ln{a}}(\ln{a})} = e ^ {1} = e$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 1 - Functions - 1.3 Inverse, Exponential, and Logarithmic Functions - 1.3 Exercises - Page 37: 67
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