SOLUTION: Please help me answer this, I've been stuck for hours now: {{{ log (b, 4rt((x^7y^2)/(z^4))) }}} Assume that x, y, z, and b are positive numbers. Use the properties of logarithms

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me answer this, I've been stuck for hours now: {{{ log (b, 4rt((x^7y^2)/(z^4))) }}} Assume that x, y, z, and b are positive numbers. Use the properties of logarithms       Log On


   

Question 771800: Please help me answer this, I've been stuck for hours now: +log+%28b%2C++4rt%28%28x%5E7y%5E2%29%2F%28z%5E4%29%29%29+
Assume that x, y, z, and b are positive numbers. Use the properties of logarithms to write the expression above in terms of the logarithms of x, y, and z.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You also must include r and t in your expression.

What you really want to show to ask is,
+log+%28b%2C++%28%28%28x%5E7y%5E2%29%2F%28z%5E4%29%29%5E%281%2F4%29+%29%29+
(Click on "View Source" to see the code used for rendering).

There is more than one way to begin: either with the exponents within the expression or to first use log%28b%2C+%28m%5En%29%29=n%2Alog%28b%2C+m%29;

Start (or continue) with log%28b%2C+mn%29=log%28b%2Cm%29%2Blog%28b%2Cn%29 and log%28b%2C++%28m%2Fn%29%29=log%28b%2C+m%29-log%28b%2C+n%29