robert7248
robert7248 robert7248
  • 21-03-2019
  • Mathematics
contestada

If [tex]A = log_{5}2[/tex] and [tex]B= log_{5} 3[/tex], write each logarithm in terms of A and B.

[tex]log_{5} 36[/tex]

Respuesta :

Hulkk Hulkk
  • 21-03-2019

Answer:

2A+2B

Step-by-step explanation:

[tex]log_{5} 36=log_{5}(4*9)=log_{5}(2^{2}*3^{2})\\log_{5}(2^{2})+log_{5}(3^{2})=2log_{5}2+2log_{5}3=2A+2B[/tex]

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