How do you condense # log(5) - log(x) - log(x^3) + log(7)#?

1 Answer
Jan 5, 2016

Answer:

#log(35)-log(x^4)#

Explanation:

Remember:
#color(white)("XXX")log(a)+log(b) = log(ab)#

#log(5)-log(x)-log(x^3)+log(7)#

#color(white)("XXX")=color(red)((log(5)+log(7)))-color(blue)((log(x)+log(x^3)))#

#color(white)("XXX")=color(red)(log(35)) - color(blue)(log(x^4))#