SOLUTION: Express in terms of sums and differences of logarithms: log(x^2y^3/z) Thank you in advance for the help

Algebra ->  Linear-equations -> SOLUTION: Express in terms of sums and differences of logarithms: log(x^2y^3/z) Thank you in advance for the help      Log On


   

Question 909000: Express in terms of sums and differences of logarithms:
log(x^2y^3/z)


Thank you in advance for the help
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
log%28b%2C%28x%5E2y%5E3%2Fz%29%29

When distributing a log over a division, the division becomes subtraction:

log%28b%2C%28x%5E2y%5E3%29%29-log%28b%2C%28z%29%29

When distributing a log over a multiplication, the multiplication becomes addition:

log%28b%2C%28x%5E2%29%29%2Blog%28b%2C%28y%5E3%29%29-log%28b%2C%28z%29%29

In logs of exponentials, the exponents can be moved in front of the
logs as coefficients:

2log%28b%2C%28x%29%29%2B3log%28b%2C%28y%29%29-log%28b%2C%28z%29%29

That's the final answer.

Edwin