Question

log[4](xy)^3 - log[4](xy)
=3log[4]x + 3log[4]y - (log[4]x + log[4] y)
=2log[4]x + 2log[4]y
=2log[4](xy)
=log[4](xy)^2
is this correct?

Answer 1

Yes, but do you get the same answer in 2 steps..
\[\log_{4} (xy)^3 -\log_{4} (xy)\]\[=\log_{4}[ (xy)^3 /(xy)]\]\[=\log_{4} (xy)^2 \]

Answer 2

Note that \[loga - logb = \log (a/b)\]

Answer 3

Thankx ;)

Answer 4

welcome