donnie50 donnie50

06-08-2019
Mathematics

contestada

Given log43=0.792 and log421=2.196,what is log47?

Respuesta :

jimrgrant1 jimrgrant1

06-08-2019

Answer:

1.404

Step-by-step explanation:

Using the rule of logarithms

log x - log y ⇔ log([tex]\frac{x}{y}[/tex] )

Hence

[tex]log_{4}[/tex] 21 - [tex]log_{4}[/tex] 3 = [tex]log_{4}[/tex]([tex]\frac{21}{3}[/tex] = [tex]log_{4}[/tex] 7

Thus

[tex]log_{4}[/tex] 7 = 2.196 - 0.792 = 1.404

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