summergregg8
summergregg8 summergregg8
  • 19-07-2020
  • Mathematics
contestada

Evaluate the expression without using a calculator logbase5 (1/25)

Respuesta :

leena
leena leena
  • 19-07-2020

Hey there! :)

Answer:

㏒[tex]_{5}[/tex] (1/25) = -2.

Step-by-step explanation:

Starting with:

㏒[tex]_{5}[/tex] (1/25) =

We can rewrite this expression as:

[tex]5^{x} = 1/25[/tex]

1/25 is equivalent to [tex]5^{-2}[/tex], therefore:

[tex]5^{x} = 5^{-2}[/tex]

x = -2.

Therefore, ㏒[tex]_{5}[/tex] (1/25) = -2.

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