Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

Published by W. H. Freeman

ISBN 10: 1464125260

ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 327: 8

Answer

$$ b=1000.$$

Work Step by Step

We have $$ b^4=10^{12}\Longrightarrow b^4=(10^{3})^4. $$ Since the exponents are equal, then the bases are equal and we get $$ b=10^3\Longrightarrow b=1000.$$

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