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3 years ago

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

1 answer:

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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Given:

The given sequence is

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To find:

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Solution:

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3 years ago

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tatiyna

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2 years ago

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