sarabellaruiz sarabellaruiz
  • 04-06-2021
  • Mathematics
contestada

What is the value of log5, 125?

3
5
15
25

Respuesta :

jimrgrant1 jimrgrant1
  • 04-06-2021

Answer:

3

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

let [tex]log_{5}[/tex] 125 = n , then

125 = [tex]5^{n}[/tex] , that is

5³ = [tex]5^{n}[/tex]

Since the bases on both sides are equal, both 5 then equate the exponents

n = 3

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