SOLUTION: Given that logcx = a and logcy = b: Find in terms of a and b: a) logc(c^2 x^4 y^3) b) logc((c^3 x^2)/5rooty) c) logy(x^2)

Question 465559: Given that logcx = a and logcy = b:
Find in terms of a and b:
a) logc(c^2 x^4 y^3)
b) logc((c^3 x^2)/5rooty)
c) logy(x^2)

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given that logcx = a and logcy = b:
Find in terms of a and b:
a) logc(c^2 x^4 y^3)
b) logc((c^3 x^2)/5rooty)
c) logy(x^2)
I will assume 5rooty=5√y
...
a) logc(c^2 x^4 y^3)
=2logc(c)+4logc(x)+3logc(y) (multiplication & power rule for logs)
=2(1)+4a+3b
=2+4a+3b
..
b) logc((c^3 x^2)/5√y)
=3logc(c)+2logc(x)-(logc(5)-1/2logc(y)
=3+2a-logc(5)-b/2
RELATED QUESTIONS
Express as a single logarithm. logc x + logc y A)logc B)logc x ∙ logc y... (answered by user_dude2008,stanbon)

(loga b)(logb c)(1/logc... (answered by Fombitz)

Let a, b, c, d be positive integers such that loga(b)=3/2 and logc(d) =5/4. If a −... (answered by ankor@dixie-net.com)

If a,b,c�� be in G.P,then show that loga x,logb x,logc x, �� are in... (answered by anand429)

If X= log2a^a , Y= log3a^2a Z= log 4a^3a than the of XYZ+1 is Question 2.... (answered by Alan3354)

express as a single logarithm LOGc sqr root x+LOGc y-2 LOGc Z PLease show... (answered by Alan3354,MathLover1)

Suppose a =logb ⁡c , b =logc a and c =loga ⁡b. Find the value of... (answered by stanbon)

if loga/ b-c = logb/ c-a = logc/ a-b , show that abc =... (answered by robertb)

Kindly help me solving it i tried my best but I couldn't If... (answered by robertb)