banajaakanauaoajbsbs banajaakanauaoajbsbs
  • 16-07-2020
  • Mathematics
contestada

Use the properties of logarithms to prove log81000= log210.

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 21-07-2020

Answer:

Step-by-step explanation:

Given the expression [tex]log_81000 = log_210[/tex], to prove this expression is true using the properties of logarithm, we will follow the following steps.

Starting from the Left Hand Side:

[tex]log_81000\\[/tex]

= log₈ 10³

= log_ 2^3 (10³)

= log₂10

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