Mathematics
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OpenStudy (anonymous):
Solve for x logarithms:
log 9 ^5√27=x
3
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OpenStudy (anonymous):
Clever way to write a subscript. :)
OpenStudy (anonymous):
Have you learned the log rules? If you are multiplying within a log, it's the same as adding the logs of the two.
OpenStudy (anonymous):
OpenStudy (anonymous):
30sqrt(3) ?
OpenStudy (triciaal):
is that 9^5(sqrt^27) in the question?
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OpenStudy (anonymous):
the log is included everything under the words
OpenStudy (anonymous):
It's log base 3 of (9^5 x sqrt27) I think.
OpenStudy (anonymous):
Use the multiplication/addition log rule! Then it's easy from there. Do you know of it?
OpenStudy (anonymous):
no the 5 is over the square root sign like ^5√
OpenStudy (anonymous):
no what is it
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OpenStudy (anonymous):
It's the fifth root?
OpenStudy (anonymous):
Comme ca?
OpenStudy (anonymous):
yes thats it
OpenStudy (anonymous):
Then you apply the log rule I sent an example of before.
OpenStudy (anonymous):
Tell me what you get after doing that and if you're still unable to solve it then I'll continue.
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OpenStudy (anonymous):
help please
OpenStudy (anonymous):
OpenStudy (anonymous):
Ah, the image is way complicated. Wait a moment.
OpenStudy (anonymous):
OpenStudy (agent0smith):
simplify the 9*(27)^1/5
unfortunately doesn't show well w/o equation editor:
9*(27)^1/5 = 3^2*(3^3)^1/5
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OpenStudy (agent0smith):
= 3^(2 + 3/5) = 3^(13/5)
OpenStudy (anonymous):
It says solve for 'X'. So I did log base 3 9+1/5 log base 3 27=x
then power rule 2+1/5(3)=X
2.6=x
Am I on the right track ? KinzaN your thoughts?
OpenStudy (anonymous):
Ah, you are. There was no need to bring the 1/5 down though. :)
OpenStudy (anonymous):
27^(1/5) can be changed to 3 to some exponent.
OpenStudy (agent0smith):
13/5 = 2.6, so yes.
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OpenStudy (triciaal):
is ( 5sqrt27) the power to which 9 is raised?
9 = 3^2 and 27 =3^3
from log rule 3^x = 9 ^5√27
OpenStudy (anonymous):
OpenStudy (anonymous):
You can check that link triciaal
OpenStudy (triciaal):
thanks now i can see the problem
OpenStudy (anonymous):
wio?
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OpenStudy (anonymous):
Your answer has already been given, if that's what you're looking for. :)
OpenStudy (triciaal):
I don't know what wio means
once i was able to see the problem I saw the correct answer was already given
OpenStudy (anonymous):
Still haven't figured it out? =(