Question

express as a single log: 5logx - 3log(x-3)

Answer 1

log(a) + log(b) = log(ab)
log(a) - log(b) = log(a/b)

Answer 2

so 5logx/3log(x-3)?

Answer 3

actually you have to use another property since they are not the same. this is equal to

2 logx - 3log(x/(x-3))

so you need to use the property

log(a^b) = blog(a)

so we have log(x^5) - log((x-3)^3))

and now we can apply one of the rules above

Answer 4

\[= \log\left( \frac{ x^5 }{ (x-3)^3 } \right)\]

Answer 5

Ok..I see...thanks!!