SOLUTION: Given that log(base 5)of x equals y, express the following in terms of y: a. log(base 5)x^2 b. log (base 5)(1/x) c. log (base 25) x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Given that log(base 5)of x equals y, express the following in terms of y: a. log(base 5)x^2 b. log (base 5)(1/x) c. log (base 25) x      Log On


   



Question 693117: Given that log(base 5)of x equals y, express the following in terms of y:
a. log(base 5)x^2
b. log (base 5)(1/x)
c. log (base 25) x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that log(base 5)of x equals y, express the following in terms of y:
a. log(base 5)x^2
= 2log5(x) = 2y
------------------------
b. log (base 5)(1/x)
= -log5(x) = -y
------------------------
c. log (base 25) x
= log(x)/log(25) = log5(x)/log5(25) = y/2 = (1/2)y
=======================================================
cheers,
Stan H.