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Likurg_2 [28]
3 years ago
6

Solve without a calculator log_4(20)-log_4(45)+log_4(144)

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

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3 years ago
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Vinil7 [7]

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3 years ago
What is the place if 6 in 34.76
Paladinen [302]
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8 0
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tatiyna

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3 0
2 years ago
$7.50 admission; 20% off
kirill [66]
If you were getting 20% off of a £7.50 admission the new price would be £5.
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7.50 minus the 20% off, 1.50, would be £5.


5 0
3 years ago
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