## anonymous 5 years ago atachment file

1. anonymous

2. anonymous

$8.2^{n-3}=42.5$ $ln(8.2^{n-3})=ln(42.5)$

3. anonymous

$(n-2)ln(8.2)=ln(42.5)$ $n-2=\frac{ln(42.5)}{ln(8.2)}$

4. anonymous

$n=\frac{ln(42.5)}{ln(8.2)}+2$

5. anonymous

need the next one? works the same i think

6. anonymous

step 1. take the log of both sides

7. anonymous

yes

8. anonymous

step 2 pull out the exponent as a multiplier

9. anonymous

step 3 now that everything is on the ground floor use algebra. i will write it

10. anonymous

$2.1^{t-5}=9.2$

11. anonymous

frist one how u get (n-2)

12. anonymous

because i made a typo. replace the 2 by a 3!

13. anonymous

i typed it in wrong at the start. 2 should be 3. all other steps are the same

14. anonymous

i will write the next one $2.1^{t-5}=9.2$ step 1 take the log of both sides $ln(2.1^{t-5})=ln(9.2)$

15. anonymous

step 2 pull the t - 5 out front as a multipier $(t-5)ln(2.1)=ln(9.2)$

16. anonymous

ste 3 divide both sides by ln(2.1) we are trying to get t by itself $t-5=\frac{ln(9.2)}{ln(2.1)}$

17. anonymous

step 4 add 5 to both sides $t=\frac{ln(9.2)}{ln(2.1)}+5$

18. anonymous

done

19. anonymous

u great ,thank

20. anonymous

welcome!