anonymous
  • anonymous
Solve for x. Round to nearest hundredth. 2=ln(x+7)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Vocaloid
  • Vocaloid
rewriting both sides in base e gives us e^2 = x + 7 solve for x
anonymous
  • anonymous
What is e?
SolomonZelman
  • SolomonZelman
e is the base of the natural log.

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SolomonZelman
  • SolomonZelman
In other words, \(\ln(a)\) is same as \(\log_e(a)\)
anonymous
  • anonymous
So how do i find x?
SolomonZelman
  • SolomonZelman
Use: \(\log_a{b}=c ~~~~~~\Longrightarrow ~~~~~~a^c=b\)
SolomonZelman
  • SolomonZelman
this is the rule./
SolomonZelman
  • SolomonZelman
\(\log_e(x+7)=2\) \(e^2=x+7\) \(x=?\)
anonymous
  • anonymous
I understand the process but i dont understand how to find x
SolomonZelman
  • SolomonZelman
you have just a single step left.
anonymous
  • anonymous
Would it be 2.64 ??
SolomonZelman
  • SolomonZelman
no
SolomonZelman
  • SolomonZelman
(your answer will involve e^2)
anonymous
  • anonymous
I have no idea.m
SolomonZelman
  • SolomonZelman
subtract 7 from both sides
anonymous
  • anonymous
-7?
SolomonZelman
  • SolomonZelman
e^2=x+7 subtract 7 from both sides and you get?
anonymous
  • anonymous
E^2-7 =x
SolomonZelman
  • SolomonZelman
yes
anonymous
  • anonymous
Would the answer just be -7? It has to be numbers..i cant use letters
SolomonZelman
  • SolomonZelman
approximtae e^2
SolomonZelman
  • SolomonZelman
http://www.wolframalpha.com/input/?i=e%5E2-7
SolomonZelman
  • SolomonZelman
about 0.3891
anonymous
  • anonymous
Since it says to round to the nearest hundredth would it just be 0.389
anonymous
  • anonymous
??
SolomonZelman
  • SolomonZelman
hunderedth is the 2dn decimal place
SolomonZelman
  • SolomonZelman
2nd **
anonymous
  • anonymous
Thank you for all your help!!

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