SOLUTION: Given that log[base 7](x^2)y = p and log[base 7]xy^2 = q, find log[base 7]cubicroot(xy) in terms of p and q. Please help, um sorry I couldn't write it perfectly!

Question 841605: Given that log[base 7](x^2)y = p and log[base 7]xy^2 = q, find log[base 7]cubicroot(xy) in terms of p and q.
Please help, um sorry I couldn't write it perfectly!
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
This solution is abbreviated, because so much text to type:

log(x^2y)=p gives .
-
log(xy^2)=q gives .
-
That is a system of equations with the unknowns being log(x) and log(y). Solving with the Elimination Method will give you these:
and .
-
-
The equation you want to write all in terms of p and q is
.
Now, replace log(x) and log(y) with their formulas found, and simplify.

RELATED QUESTIONS
Given that log (base 7)x^2 = p and log (base 7) xy^2 = q, find log (base 7) (cube root... (answered by josmiceli,stanbon)

Given that log (base 7)x^2 = p and log (base 7) xy^2 = q, find log (base 7) (cube root... (answered by Edwin McCravy,jsmallt9)

Given that log(base a) x = p and log(base a) y = q, find the following: 1) log(base xy) a (answered by KMST,ikleyn)

1) Given that base 3 log of x =p find in terms of p in the simplest form : base 3 log of (answered by jsmallt9)

Please help me to solve the problem: Let p= log(base 2)x q= log(base 2)y and r=... (answered by vasumathi)

Please help me solve this problem: Express log[base b]sqrt((x^2)y), x>0 in terms of p (answered by Theo)

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)

Solve the simultaneous equations. log base 2 (xy) = 7 log base 2 (x^2/y) =... (answered by josgarithmetic)

Given log 2=p log 7=q Find (14^3x+1)(8^2x+3)=7 in terms of p and... (answered by ikleyn)