SOLUTION: Assume that x, y, z, and b are positive numbers. Use the properties of logarithms to write the expression log b 4throot (x^7 times y^2)/(z^4) in terms of logarithms of x, y, and z.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Assume that x, y, z, and b are positive numbers. Use the properties of logarithms to write the expression log b 4throot (x^7 times y^2)/(z^4) in terms of logarithms of x, y, and z.      Log On


   

Question 772032: Assume that x, y, z, and b are positive numbers. Use the properties of logarithms to write the expression log b 4throot (x^7 times y^2)/(z^4) in terms of logarithms of x, y, and z.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean this? log%28b%2C++%28%28x%5E7y%5E2%2Fz%5E4%29%5E%281%2F4%29%29%29

(Click the hyperlink that says, "View Source" or "See Source Code").

You need two (or three) rules about logarithms:
log%28b%2C+%28x%5En%29%29=n%2Alog%28b%2C+x%29;
log%28b%2C+%28xy%29%29=log%28b%2C+x%29%2Blog%28b%2C+y%29;
log%28b%2C%28x%2Fy%29%29=log%28b%2C+x%29-log%28b%2C+y%29