03-12-2020
Mathematics

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please guys help me my head is hurting!!!!!!!!

find x if 101 base x =17

Respuesta :

LammettHash LammettHash

03-12-2020

Write out the base-x expansion of [tex]101_x[/tex] :

[tex]101_x[/tex] = 1 • x² + 0 • x¹ + 1 • x⁰

This number is equal to 17 (in base 10), so that

x² + 1 = 17

Solve this for x :

x² = 16

x = ±4

(Yes, negative bases are totally valid.)

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