Question

Expand the following using the properties of logs:
PICTURE ATTACHED

Answer 1

use the formulas --
log mn=log m + log n
log m/n= log m- log n

Answer 2

i got log^46x+log^4y^2-log4z^3 what did u get

Answer 3

log_4(6x)+log_4(y^2)-log_4(z^3)
almost... you can still simplify that a little more though...

Answer 4

add -3log4z

Answer 5

you can also use this one more fact:
\[\large \log_b x^y = ylog_b x\]

Answer 6

so 6log^4x+2log4y-3log4z??

Answer 7

you got it..

Answer 8

but wait...

Answer 9

i know what you mean by 6log^4x....
do not use "^" for base because we use that for exponents.
use "_" for the base so it'll look like this: 6log_4(x). and use parenthesis to be clear also.

Answer 10

or you can learn LaTex...
\[\large 6\log_4(x) + 2\log_4(y) - 3 \log_4(z)\]