Question

Simplify 7 log3 k + 6 log3 m − 9 log3 n.

Answer 1

See the attached image

Answer 2

Answer:
`log_3((k^7*m^6)/(n^9))`

Explanation:

By the properties of exponents you have that:

`log(a)+log(b)=log(ab)\\\\log(a)-log(b)=log((a)/(b))\\\\log(b)^a=alog(b)`

Therefore, keeping the properties on mind, you can simplify as following:

`log_3(k)^7+log_3(m)^6-log_3(n)^9\\\\log_3(k^7*m^6)-log_3(n)^9\\\\log_3((k^7*m^6)/(n^9))`