Question

if logb 2=A, logb 3=B, logb z=C , express each letter in the ff in terms if A,B,C

Answer 1

This is where things get really interesting...

Answer 2

No numbers to work with.

Answer 3

good, cause i really hate numbers

Answer 4

where do we start?

Answer 5

Right... so let's get crackin'

Answer 6

We start with you actually giving me an actual question -_-

Answer 7

logbx^3yz^2

Answer 8

effing internet

Answer 9

so slow

Answer 10

Interesting... are you sure we're not given any \(\log_b x\) and \(\log_b y\) ?

Answer 11

Well.... this is a bummer... are you sure it's \[\Large \log_b2 = A\]?

Answer 12

yup

Answer 13

There's absolutely nothing written about \[\Large \log_b x\]

Answer 14

thats all thats written here

Answer 15

Might as well do what we can.
Use the property of logs to expand it,
log(MN) = log(M) + log(N)
and
log(M^p) = p log(M)

Answer 16

3logbx+logy+logz

Answer 17

You're missing something with the log(z) part.

Answer 18

forgot the base

Answer 19

3logb x+logb y+2logb z

Answer 20

next?

Answer 21

Well, we do know that logb z is equal to C.

Answer 22

Sadly, there's nothing we can do about logb x and logb y, since, well... you know :D

Answer 23

xDDD

Answer 24

3logb x+logb y+2logb C

Answer 25

wait, what about the exponents??

Answer 26

won;t it be blogb x+logb y+Alogb C

Answer 27

nada.... we know nothing about x and y, see... nothing was given to you about them.

Answer 28

And no... if you must drag A into this...
\[\Large = 3\log_b(x) + \log_b(y) + b^AC \]

Answer 29

okaaay,, thanks anyways,

Answer 30

have a good night

Answer 31

You too... good luck~ you'll need it B)