## anonymous one year ago Solve for x. Round to nearest hundredth. 2=ln(x+7)

1. Vocaloid

rewriting both sides in base e gives us e^2 = x + 7 solve for x

2. anonymous

What is e?

3. SolomonZelman

e is the base of the natural log.

4. SolomonZelman

In other words, $$\ln(a)$$ is same as $$\log_e(a)$$

5. anonymous

So how do i find x?

6. SolomonZelman

Use: $$\log_a{b}=c ~~~~~~\Longrightarrow ~~~~~~a^c=b$$

7. SolomonZelman

this is the rule./

8. SolomonZelman

$$\log_e(x+7)=2$$ $$e^2=x+7$$ $$x=?$$

9. anonymous

I understand the process but i dont understand how to find x

10. SolomonZelman

you have just a single step left.

11. anonymous

Would it be 2.64 ??

12. SolomonZelman

no

13. SolomonZelman

14. anonymous

I have no idea.m

15. SolomonZelman

subtract 7 from both sides

16. anonymous

-7?

17. SolomonZelman

e^2=x+7 subtract 7 from both sides and you get?

18. anonymous

E^2-7 =x

19. SolomonZelman

yes

20. anonymous

Would the answer just be -7? It has to be numbers..i cant use letters

21. SolomonZelman

approximtae e^2

22. SolomonZelman
23. SolomonZelman

24. anonymous

Since it says to round to the nearest hundredth would it just be 0.389

25. anonymous

??

26. SolomonZelman

hunderedth is the 2dn decimal place

27. SolomonZelman

2nd **

28. anonymous

Thank you for all your help!!