SOLUTION: Please help me solve this problem: Express log[base b]sqrt((x^2)y), x>0 in terms of p and q, if log[base b](x)=p and log[base b](y)=q. a) (1/2)pq b) (1/2)(p^2)q c) p + (q

Algebra ->  Test -> SOLUTION: Please help me solve this problem: Express log[base b]sqrt((x^2)y), x>0 in terms of p and q, if log[base b](x)=p and log[base b](y)=q. a) (1/2)pq b) (1/2)(p^2)q c) p + (q      Log On


   

Question 1026214: Please help me solve this problem:
Express log[base b]sqrt((x^2)y), x>0 in terms of p and q, if log[base b](x)=p and log[base b](y)=q.
a) (1/2)pq
b) (1/2)(p^2)q
c) p + (q^(1/2))
d) p + (1/2) q
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
looks like selection d to me.

the following worksheet shows you why.

$$$
the general concepts applied are:

sqrt(x) = x^(1/2)

log(a*b) = log(a) + log(b)

log(a^b) = b*log(a)