EmilyParkinson EmilyParkinson
  • 02-08-2018
  • Mathematics
contestada

let logb (2)= 2.212 and logb(3)=3.415 find log 24

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rejkjavik rejkjavik
  • 02-08-2018

we are given

logb (2)= 2.212

logb(3)=3.415

we can use log formula

[tex] log(24)=log(8*3) [/tex]

[tex] log(24)=log(8)+log(3) [/tex]

[tex] log(24)=log(2^3)+log(3) [/tex]

[tex] log(24)=3log(2)+log(3) [/tex]

now, we can plug values

[tex] log(24)=3*2.212+3.415 [/tex]

[tex] log(24)=10.051 [/tex]................Answer

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