## owlet one year ago Question below..

1. owlet

2. owlet

What I did so far... |dw:1442282733985:dw|

3. owlet

I don't know how to continue it..

4. anonymous

change of base: $a=\frac{ \log_{10}3 }{ \log_{10} 2 }$ $b=\frac{ \log_{10}5 }{ \log_{10} 2 }$ $\frac{ a }{ b }=\frac{ \log_{10} 3 }{ \log_{10} 5 }$

5. anonymous

|dw:1442283912554:dw|

6. anonymous

|dw:1442284091562:dw|

7. anonymous

that's as far as I can figure. Feels like I'm missing something and the final expression should be able to simplify more

8. owlet

I have the solution but I don't quite get it. Maybe you can.. Why did they subtract 2 from $$\sf log_{10}12$$?

9. owlet

ooh nvm.. I got it.Thanks for the help :)