Respuesta :

HomertheGenius
We have to find log4^7 if we know that log4^3 = 0.792 and log4^21 = 2.196.
We already know that:
log ( x/y ) = log x - log y
log4^21 = log4^( 21 / 3 ) =
= log4^ 21 - log4^ 7 = 2.196 - 0.797 = 1.404
Answer:
A ) 1.404

Answer: The correct answer 1.404

Step-by-step explanation:

[tex]\log4^3=0.792[/tex]

[tex]\log4^{21}=2.196[/tex]

[tex]\log4^{21}=\log(4^{3}\times4^{7})=\log4^3+\log4^7=2.196[/tex]

[tex]\log4^7=2.196-\log4^3=2.196-0.792=1.404[/tex]

The correct value of [tex]\log4^7[/tex] is 1.404. so the correct option from the given option is 1.404.