Question

Solve for x. Round to nearest hundredth.
2=ln(x+7)

Answer 1

rewriting both sides in base e gives us

e^2 = x + 7
solve for x

Answer 2

What is e?

Answer 3

e is the base of the natural log.

Answer 4

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

Answer 5

So how do i find x?

Answer 6

Use:

\(\log_a{b}=c ~~~~~~\Longrightarrow ~~~~~~a^c=b\)

Answer 7

this is the rule./

Answer 8

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

Answer 9

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

Answer 10

you have just a single step left.

Answer 11

Would it be 2.64 ??

Answer 12

no

Answer 13

(your answer will involve e^2)

Answer 14

I have no idea.m

Answer 15

subtract 7 from both sides

Answer 16

-7?

Answer 17

e^2=x+7

subtract 7 from both sides and you get?

Answer 18

E^2-7 =x

Answer 19

yes

Answer 20

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

Answer 21

approximtae e^2

Answer 22

http://www.wolframalpha.com/input/?i=e%5E2-7

Answer 23

about 0.3891

Answer 24

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

Answer 25

??

Answer 26

hunderedth is the 2dn decimal place

Answer 27

2nd **

Answer 28

Thank you for all your help!!