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.Com
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)   (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)








RELATED QUESTIONS

Please help me to solve the problem: Let p= log(base 2)x q= log(base 2)y and r=... (answered by vasumathi)
If log base b of 3 = p and log base b of 5 = q express log base b of 5/b in terms of p... (answered by nerdybill)
If 2 log (base 3) y - 3 log (base 3) x - log (base 3) b + log (base 3) a = 3, express y... (answered by stanbon,jsmallt9)
Suppose log base b of 3 = p and log base b of 5 = q. Express log base b of 25 in terms... (answered by stanbon)
Given that log[base 7](x^2)y = p and log[base 7]xy^2 = q, find log[base 7]cubicroot(xy)... (answered by josgarithmetic)
If log(base 3)2 = P And Log (base 3)13 = Q Express Log(base 78)52 in terms of P and Q (answered by rapaljer)
Knowing that x = log(base a)2 , y = log(base a)3, z=log(base a)5 express the following... (answered by lwsshak3)
P=log4 base a , q= log 5 base a express a) log 100 base a b) log 0.4 base a in terms... (answered by Alan3354)
my earlier submission looks to be jumbled. I have tried to put the same questions in a... (answered by CharlesG2)