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4 votes
Express log4 27 − 2log4 3 as a single

logarithm.

F log4 3
G log4 6
H log4 12
J log4 18

User Asologor
by
6.7k points

1 Answer

2 votes

Answer:

F

Explanation:

using the properties of logarithms

log
x^(n) ⇔ n logx

log x - log y = log (
(x)/(y) )

given


log_(4) 27 - 2
log_(4) 3

=
log_(4) 27 -
log_(4)

=
log_(4) 27 -
log_(4) 9

=
log_(4) (
(27)/(9) )

=
log_(4) 3

User Yuki Inoue
by
6.6k points