Question

log a(x)= -1 , log a (y)= 2 , and log a(z)= 5 then what does log a(x^2/yz^4) = ?

Answer 1

log (xy) = log (x) + log(y)
expand the last expression and add up the terms.

Answer 2

i don't understand what your saying

Answer 3

do you understand what
log (xy) = log (x) + log(y)
means?

Answer 4

yes

Answer 5

Okay, you can extend that to log(x/y) = log(x) - log(y)
Now use these tricks over and over again on log a(x^2/yz^4)

Answer 6

log x=-1
log y=-2
log z=5
i'm not writing the base, it's assumed to be a
now we have to find log(x^2/(yz^4))
log(x^2)-log(y)-log(z^4)
2log(x)-log(y)-4log(z)
2*(-1)-2-4*5
-2-2-20
-24 ans