Question

Which of the following is/are true?

I.(log[2]1) (log[4]5) = log[2]8 - log[3]27
II. log[9]2+log[9]3 > log[9]5
III. log[3](3+9) < log[6]6+log[3]4

a. II and III
b. II only
c. III only
d. I and II

Answer 1

in ur third choice....
is it just log[6] ?

Answer 2

sorry... I've change it its log[6] 6

Answer 3

I got D

Answer 4

it's only 2

Answer 5

1st one
log[2]8 = log[2]2^3 = 3log[2]2 = 3
log[3]27 = log[3]3^3 = 3log[3]3 = 3
then
log[2]8 - log[3]27 = 3 - 3 = 0
but
log[2]1(log[4]5) can;t be zero
so it;s wrong

Answer 6

for the third one
log[6]6 = 1
then
log[6]6 + log[3]4 = 1 + log[3]4

also
log[3](3 + 9) = log[3]12 = log[3](3 x4) = log[3]3 + log[3]4 = 1 + log[3]4

so...
log[3](3 + 9 ) = log[6]6 + log[3]4

so the third one is also false

Answer 7

so.. the only answer left is 2nd one

Answer 8

besides
log[9]2 + log[9]3 = log[9](2x3) = log[9]6
and
log[9]6 > log[9]5

Answer 9

thanks again !

Answer 10

u r welcome!