Why does log_4 32!=log_4(4*8) log_4 32=2.5 If log_a(b*c)=log_a b+log_a c;(a>0,b>0,c>0,a!=1)

mangicele4s

mangicele4s

Answered question

2022-09-23

Why does log 4 32 log 4 ( 4 8 )
log 4 32 = 2.5
If
log a ( b c ) = log a b + log a c ; ( a > 0 , b > 0 , c > 0 , a 1 )
Then why does log 4 32 can't be log 4 ( 4 8 ) = log 4 4 + log 4 8 = 1 + 2 = 3?

Answer & Explanation

tucetiw0

tucetiw0

Beginner2022-09-24Added 12 answers

Because log 4 ( 8 ) 2. Instead, 4 2 = 16

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