gbuck10 gbuck10
  • 18-01-2018
  • Mathematics
contestada

Calculate log3 43 to the nearest thousandth.

Respuesta :

mathmate
mathmate mathmate
  • 18-01-2018
Using the relationship

log_b(x)=log_e(x)/log_e(b)

where there intermediate base "e" can be replaced with any other positive number.

log_3(43)   (log 43 to base 3)
=log_e(43)/log_e(3)
= 3.761200/1.098612
= 3.423592...
= 3.424 (to the nearest thousandth)


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