milangrg944
milangrg944 milangrg944
  • 26-02-2020
  • Mathematics
contestada

if a=b^x,b=c^y and c= a^z prove that xyz

=1
​

Respuesta :

alymary41 alymary41
  • 26-02-2020

If ax=b and by=c, substituting you get that axy=c. Now, if cz=a, substituting again, axyz=a, from where it follows that xyz=1.

or

c = {b^y} = [(a^x)^y] = {a^(xy)}

a = [c^z] = [{a^(xy)}^z] = [a^(xyz)]

(a^1) = [a^(xyz)]

Therefore, (xyz) = 1.

Answer Link

Otras preguntas

Solve the equations. 8x + 7y = 39 4x – 14y = –68
Suppose the probability that a randomly selected​ man, aged 55​ - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 E
Represent the number of feet in y yards, f feetand i inches.​
CoolBreeze Manufacturing produces a single product, a tabletop fan. They reported the following information from their operations last period:___________. Cost
Applied research is the major R&D effort of business organizations because of their desire for commercial applications. A. True B. False
Levi observed properties of four different waves and recorded observations about each one in his chart. A 2-column table with 4 rows. The first column labeled W
Chicos ayudenme rápidito urgente plis es para ahorita al menos con algunos plis doy corona al que me ayuda pero porfavor ayudenme sii ayudenme
The treatment of disease through the use of drugs is called: immunology disinfection chemotherapy vaccination
WILL GIVE BRAINLIEST PLZ HELP
The route that is the is the best route to take. A. safest B. fastest C. most popular D. most populated