lallypop lallypop
  • 11-04-2016
  • Mathematics
contestada

solve, log.5^4+log4^.5

Respuesta :

Vectesper Vectesper
  • 11-04-2016
First, let's expand the logarithms.
[tex]log _{5} 4+log_{4}5 = \frac{log4}{log5}+\frac{log5}{log4} [/tex]
This because [tex]log_{y}x [/tex] is equivalent to [tex] \frac{logx}{logy} [/tex]
From there, you need to use a calculator to find the exact numerical value. 
[tex] \frac{log4}{log5}+\frac{log5}{log4} = 2.02231716359[/tex]

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