## catgirl17 2 years ago condense the expression 1/2 log5 16-3log5 x+4log5 y

1. guykubpom

hmmm ? I don't understand the equation.

2. catgirl17

$1/2 \log_{5} 16- 3\log_{5} x+ 4\log_{5} y$

3. asnaseer

do you know all the log rules?

4. asnaseer

if not - consult this page: http://www.purplemath.com/modules/logrules.htm you should then be able to solve this

5. catgirl17

yes i think i do

6. asnaseer

an example step would be:$3\log_5x=\log_5x^3$

7. FoolForMath

$\frac 12 \log_5 16-3 \log_5 x+4 \log_5 y = \log_5 \frac{4 y^4}{x^3}$

8. asnaseer

I guess FoolForMath has given away the answer - but try and do it yourself to convince yourself that this is the right answer :)

9. FoolForMath

Yes I guess I am wrong.