## anonymous 4 years ago Simplify 5 log2 k – 8 log2 m + 10 log2 n

1. anonymous

First of all use the property : $\huge \color{red}{2Logx=Logx^2}$

2. anonymous

Make sense ?

3. anonymous

no

4. anonymous

Get the number to the log as a power As an example : $\Large \color{blue}{5Log_{2}k=Log_{2}k^5}$ Can u do that to the rest ?

5. anonymous

ok so its log2k^5-log2m^8+log2n^10 but how do i add and subtract this.

6. anonymous

Great,So here is another property : $\Large ==> \color{orange}{LogX+LogY=Log(X*Y)}$ $\Large ==> \color{orange}{LogX-LogY=Log( \frac{x}{y})}$ If we collect both of them in one question As: $\LARGE ==> \color{red}{LogX+LogY-LogZ-LogK= \frac{LogX*LogY}{LogZ*LogK}}$

7. anonymous

ooooh i got it thanks

8. anonymous

Yw,Inform me when you need any help :).

9. anonymous

ok thanks again