lynnkc2000 lynnkc2000
  • 20-10-2021
  • Mathematics
contestada

57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)

Respuesta :

kenlingdad kenlingdad
  • 21-10-2021

Answer:

steps below

Step-by-step explanation:

Set    log x = a     and     log y = b

x = 10ᵃ     and       y = 10ᵇ

if a>b      10ᵃ > 10ᵇ

so  x > y

x = 57²⁰¹⁸              y = 51²⁰²⁰

log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 :  (a)

log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)

3543.36 > 3449.29       log x > log y    

x > y:        57²⁰¹⁸ > 51²⁰²⁰

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