Mathematics
13 Online
OpenStudy (anonymous):
Use the equation and type the ordered-pairs.
y = log 3 x
{(1/3,__), (1,__), (3,__), (9,__), (27,__), (81,__)}
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OpenStudy (anonymous):
\[y =\log_{3} x\]
OpenStudy (shamim):
I wanna show u last 1
OpenStudy (shamim):
U know x=81, y=?
OpenStudy (anonymous):
okay..
OpenStudy (shamim):
y=log3(81)=log3(3^4)=?
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OpenStudy (anonymous):
where did you get the "4"?
OpenStudy (shamim):
Ok tell me
3^2=?
OpenStudy (anonymous):
9
OpenStudy (shamim):
3^3=?
OpenStudy (shamim):
3^4=?
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OpenStudy (anonymous):
27
OpenStudy (anonymous):
81
OpenStudy (shamim):
So we can write
81=3^4
Right?!
OpenStudy (anonymous):
right.
OpenStudy (shamim):
So we can write
log3(81)=log3(3^4) ?
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OpenStudy (anonymous):
yep
OpenStudy (shamim):
Can u tell me
logx(x^2)=?
OpenStudy (anonymous):
not really. no.
OpenStudy (shamim):
I think u know
logx(x)=1 right?
OpenStudy (shamim):
Log2(2)=1
Right?
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OpenStudy (shamim):
Lig3(3)=1
Right?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
log2(2) = 0.602059991328
OpenStudy (shamim):
This is law of logarithm
OpenStudy (shamim):
Log4(4)=1
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OpenStudy (shamim):
Logy(y)=1
Right?!
OpenStudy (anonymous):
i guess. although my calculator doesnt agree.
OpenStudy (shamim):
Ofcourse ur calculator will b agree
OpenStudy (shamim):
Test
log3(3)=?
OpenStudy (shamim):
Anyway it is
3 basis log 3
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OpenStudy (shamim):
Plz tell me the result frm ur calculator
OpenStudy (anonymous):
1.43136376416
OpenStudy (shamim):
Never
OpenStudy (shamim):
U r doing something wrong!
OpenStudy (shamim):
log3(3)=1
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OpenStudy (anonymous):
yep, i found out i was putting (log(3)) * 3
OpenStudy (anonymous):
anyways, continue.
OpenStudy (shamim):
Law of logarithm is
log3(3^2)=2log3(3)=?
OpenStudy (anonymous):
2
OpenStudy (shamim):
Correct!!!!
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OpenStudy (shamim):
log3(3^3)=3*log3(3)=?
OpenStudy (shamim):
Tell me
log3(81)=?
OpenStudy (anonymous):
3
OpenStudy (anonymous):
4
OpenStudy (shamim):
This is ur result!!!
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OpenStudy (anonymous):
then i am guessing that these are all my answers...
1/2; 0; 1; 2; 3; 4?
OpenStudy (shamim):
81,4
OpenStudy (anonymous):
{(1/3,1/2), (1,0), (3,1), (9,2), (27,3), (81,4)}?
OpenStudy (anonymous):
i may be wrong about the 9
OpenStudy (shamim):
No
9,2 is correct!
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OpenStudy (anonymous):
so the 1/2 is wrong... is should be -1?
OpenStudy (shamim):
Ya
OpenStudy (shamim):
1/3,-1 is correct!
OpenStudy (anonymous):
i guess that is all i needed then.
OpenStudy (shamim):
Ok. Thank u !
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OpenStudy (anonymous):
and thank you.