Question

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. Assume all variables are positive.
log4x^2y

Please, show work.
I'll mark the brainliest!

Answer 1

If you meant "log to the base 10," then you have log 4*x^2*y, and this is equivalent to log 4 + 2log x + log y.

If you meant "log to the base 4," then you have:

log      x^2*y  =  log   x^2  +  log      y

      4                       4                   4    

and that simplifies to:              

log      x^2*y  =  2*log   x  +  log      y

      4                           4               4