## anonymous one year ago Help with equation/scenario

1. anonymous

@Nnesha hey can you confirm my answer form ? I got like 3.989 so I'm going with that. I did it by hand so I just want someone to check.

2. Nnesha

x is an exponent ?

3. Nnesha

can you please explain or show ur work plz how did you get that answer ? :=)

4. Nnesha

what was ur first step ?

5. Nnesha

hey?? :(

6. anonymous

hey sorry afk again. this is what I did (30000=1.18^x * 15 30000=1.18^x * 500) I used scalar multiplying

7. anonymous

@Nnesha

8. anonymous

my book has a whole section on that in this lesson so I thought that was what I do but idk

9. Nnesha

i don't know why or how you separated de 15 and 5000$\huge\rm 30000=15500(1.18)^x$ you need to get rid of the 15500 so you can take ln both sides

10. Nnesha

divide both sides by 15500 and then take natural log

11. anonymous

okay so 30000 / 15500 is 1.9354 and then just 1.18^x I think

12. anonymous

Sorry if I'm not doing this right. Really trying though

13. Nnesha

yes right $\huge\rm 1.935=(1.18)^x$ now take natural log both sides

14. anonymous

isn't natural log just log10? I think someone told me that

15. Nnesha

ln is basically same as log same rules applies for both but ln has base e and and log_!0

16. Nnesha

log_10

17. anonymous

I'm sorry can you show me how to set it up?

18. Nnesha

sure btw you can take ln or log you will get the same answer if you take ln $\huge\rm \color{ReD}{ln} 1.935=\color{red}{ln}(1.18)^x$ or log $\huge\rm \color{ReD}{log} 1.935=\color{red}{log }(1.18)^x$

19. Nnesha

now apply the power rule $\large\rm log_b x^y = y \log_b x$

20. Nnesha

move the x exponent at front of log or ln