## anonymous one year ago I have another log question :o Log3(x^2)=2log3(4) - 4log3(5)

1. IrishBoy123

latexed $$log_3(x^2)=2log_3(4) - 4log_3(5)$$ is that right?

2. anonymous

Yep, that's right!

3. welshfella

by the laws of logs log3 x^2 = log3 4^2 - log3 4^5 log3 x^2 = log3 (4^2 / 4^5) can you continue?

4. anonymous

How did you get 4^5? Isn't it 5^4?

5. welshfella

** ooops sorry that is 5^4 not 4^5

6. anonymous

I got to where you are, and I understand it, but now I'm unsure of how to continue from there :o

7. welshfella

this is easy now..

8. anonymous

:/ Still not sure of how to proceed, sorry.

9. welshfella

if a^x = a^y what is the relation between x and y?

10. anonymous

They're equal to each other, right?

11. welshfella

yes

12. anonymous

x^2 = 16/625?

13. welshfella

yes

14. anonymous

so the final answer is x=4/25, right? Just want to make sure.

15. welshfella

16. welshfella

catch question..

17. anonymous

Since it's log, you can't have a negative answer..

18. anonymous

...right?

19. IrishBoy123

why not put $$-\frac{4}{25}$$ into the original equation....? see if it works you cruel man, @welshfella !!

20. welshfella

i know!!