## anonymous one year ago Please help! Use rules of logarithms to expand. Picture attached :)

1. anonymous

2. UsukiDoll

this is good practice for me. so anyway we are using all 3 exponent rules together.

3. UsukiDoll

log rules $\log (mn) =\log(m)+\log(n)$ $\log (\frac{m}{n}) =\log(m)-\log(n)$ $\log (m^n) =n \cdot \log(m)$

4. UsukiDoll

ok I know for sure that exponent rule for logs is being used... so is the second rule for subtraction

5. anonymous

would (x+3)^2 be 2log(x+3)

6. UsukiDoll

yeah that's good |dw:1438054541907:dw| so now we need to use the subtraction rule for the remainder of the problem . I see fraction s

7. anonymous

2log(x+3)-(x-2)(x^2+5)^4?

8. UsukiDoll

close but we are missing something. we are missing the - sign and the logs also by exponent rule that 4 should be to the left.

9. UsukiDoll

|dw:1438054782286:dw| finish the last part

10. anonymous

4log(x^2+5) ?

11. UsukiDoll

log expansions should always have a + or - sign depending on the log rules. In this one, we are dealing with the subtraction... yeah that looks good

12. UsukiDoll

|dw:1438054939966:dw|

13. anonymous

is that the final answer?

14. UsukiDoll

|dw:1438054983306:dw| yes

15. anonymous

thank you!! :)