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OpenStudy (anonymous):
OpenStudy (shamim):
y=ln x
e^y=e^ln x
e^y=x
OpenStudy (anonymous):
OpenStudy (anonymous):
Same concept as above. Opposite of Ln is e so
\[c = \ln 4\] if we raise e to both sides we get\[e^c=e ^{\ln4}\]
Then ln and e cancel out leaving\[e^c=4\]
OpenStudy (anonymous):
Am I right?
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OpenStudy (anonymous):
OpenStudy (anonymous):
Correct!
OpenStudy (anonymous):
This one?
OpenStudy (shamim):
u should ask here
OpenStudy (anonymous):
Correct!
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OpenStudy (anonymous):
How do I figure this one out?
OpenStudy (anonymous):
Well now that we know the opposite of LN is e then the opposite of e should be LN
OpenStudy (anonymous):
\[67.21=e^a\]
OpenStudy (anonymous):
if we take the natural log of both sides\[\ln 67.21 = \ln e^a\]
OpenStudy (anonymous):
the ln cancels out with the e and we are left with \[\ln 67.21 = a\]
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OpenStudy (anonymous):
Am I correct?
OpenStudy (anonymous):
Well we know the relationship \[\log_ba=c \]=\[b^c=a\]
OpenStudy (anonymous):
a log by itself will actually mean\[\log _{10}\]
OpenStudy (anonymous):
ohhh so D!
OpenStudy (anonymous):
so you really have \[\log _{10}200=a\]
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OpenStudy (anonymous):
correct!
OpenStudy (anonymous):
I have no idea...
OpenStudy (anonymous):
I am not sure either but i believe it is the common logarithm
OpenStudy (anonymous):
Am i right?
OpenStudy (anonymous):
Correct! it is false
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OpenStudy (anonymous):
correct?
OpenStudy (anonymous):
Correct
OpenStudy (anonymous):
Correct?
OpenStudy (anonymous):
The opposite of e is ln so it can not be log
OpenStudy (anonymous):
\[e^a = 28.37\]
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OpenStudy (anonymous):
If we take the ln of both sides then we have\[\ln e^a = \ln 28.37\]the ln and e cancel out on the left leaving us with \[a= \ln 28.37\]
OpenStudy (anonymous):
or \[\ln 28.37 = a\] they mean the same thing
OpenStudy (anonymous):
Thank you so much!:) I'll use your help again! have a wonderful night.
OpenStudy (anonymous):
My pleasure, I look forward to it. Enjoy your night