(a) For which bases b is (14641)b the fourth power of an integer? (b) Find the base b if (62)b \times (11) b = (1012)b. (c) Find a base b in which (45)b and (55)b are squares of consecutive integers. (d) Find x if (2x

(a) For which bases b is (14641)b the fourth power of an integer? (b) Find the base b if (62)b \times (11) b = (1012)b. (c) Find a base b in which (45)b and (55)b are squares of consecutive integers. (d) Find x if (2x

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section: Chapter Questions

Problem 15RP

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Question

(a) For which bases b is (14641)b the fourth power of
an integer? (b) Find the base b if (62)b \times (11)b
(1012)b. (c) Find a base b in which (45)b and (55)b
are squares of consecutive integers. (d) Find x if (2x
3)4 = (1x10)3
=

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