Question

Simplify the following expression.
log(9x^5) + 5 log (1/x)

Answer 1

log9

Explanation:

hello :

note : a>0 and b>0

1) log(ab) = loga+logb

2) loga^n = nloga.....n in N

log(9x^5) + 5 log (1/x) = log(9x^5) + log (1/x)^5 = log((9x^5) (1/x)^5)

= log(9x^5)/(x^5)) = log9 because : (1/x)^5 = 1/x^5