SOLUTION: Given that log5x=a and log5y=b find in terms of a and b A) Log5(x^2/y)=1 B) log5(25x(square root)y)=1

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given that log5x=a and log5y=b find in terms of a and b A) Log5(x^2/y)=1 B) log5(25x(square root)y)=1      Log On


   

Question 846518: Given that log5x=a and log5y=b find in terms of a and b
A) Log5(x^2/y)=1
B) log5(25x(square root)y)=1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that log5x=a and log5y=b find in terms of a and b
A) Log5(x^2/y)=1
B) log5(25x(square root)y)=1
***
log%285%2C%28x%5E2%2Fy%29%29=1
2log%285%2C%28x%29%29-log%285%2C%28y%29%29=1
2a-b=1
..
log%285%2C%2825x%28sqrt%28y%29%29%29%29=1
log%285%2C%2825%29%29%2Blog%285%2C%28x%29%29%2B%281%2F2%29log%285%2C%28y%29%29=1
2+a+b/2=1
4+2a+b=2
2a+b=-2