## anonymous 4 years ago Solve for t using natural logarithms. 7e^6t=10e^5t

1. anonymous

how?

2. saifoo.khan

Oh, wait.

3. saifoo.khan

Let me show it.

4. anonymous

thanks

5. anonymous

it says to round 3 decimals to prob not 0

6. saifoo.khan

$\Large e^{6t} = \frac{10}{7} e^{5t}$

7. saifoo.khan

This equation thing isnt workin. just a sec.

8. anonymous

okk

9. saifoo.khan

$\Large 6t = \ln (\frac{10}{7} e^{5t})$

10. anonymous

and from there?

11. saifoo.khan

Thinkin.

12. anonymous

thanks

13. saifoo.khan

wow, this is confusing.

14. saifoo.khan

Got it. :D

15. anonymous

yayyyy

16. saifoo.khan

$\Large 6t = \ln (\frac{10}{7}) + \ln e^{5t}$ $\Large 6t = \ln (\frac{10}{7}) + 5t\ln e$ $\Large 6t = \ln (\frac{10}{7}) + 5t(1)$ $\Large 6t = \ln (\frac{10}{7}) + 5t$ $\Large 6t-5t = \ln (\frac{10}{7})$ $\Large t = \ln(\frac{10}{7})$

17. anonymous

sure?

18. saifoo.khan

100%.

19. anonymous

awesome! ill try it. thankss

20. anonymous

Wow, thanks so much :)

21. saifoo.khan

Welcome.