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
$$ b=10^3\Longrightarrow b=1000.$$
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
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