SOLUTION: Hello!
I was wondering if anybody could help me solve this equation. I really don't quite understand it. I looked into my algebra 2 book online and I still didn't really grasp the
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Question 884647: Hello!
I was wondering if anybody could help me solve this equation. I really don't quite understand it. I looked into my algebra 2 book online and I still didn't really grasp the concept, so can someone please help me. Thank you in advance.
The equation is 1n(x+6)-1n(x)=!n(4). Give an exact solution.
Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
x + 6 = 4x
6 = 3x, x = 2
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The general rule to follow is:
------------------------
To attempt to show why this is so,
suppose
( e = 2.2718 ), or
--------------
Also, suppose
, or
--------------
So, now I can say:
-----------------------------
-----------------------
If you don't understand this last line, then
you don't really know what a log is ( natural or not )
and you need intensive review
----------------------------
Now, to prove my definition:
------------------
The definition works no matter what you
plug in for or . I just made it easy.
-------------------
Now looking at your problem:
------------------------
Is it clear that
?
--------------------
The basic definition would be:
If , then
-----------------
----------
Check:
OK
Hope this helps
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