Mathematics
6 Online
OpenStudy (anonymous):
1 - 2log7^x (7 is the base)
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OpenStudy (anonymous):
Is this even possible? to subtract a log from a number?
OpenStudy (rajee_sam):
1 can be written as a log
Log a to the base a is = 1
OpenStudy (rajee_sam):
\[\log_{a} a = 1\]
OpenStudy (rajee_sam):
here your base is 7 . So express it as log and continue like we did the last problem
OpenStudy (anonymous):
ok
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OpenStudy (rajee_sam):
can you show me your expression after you wrote 1 as a log
OpenStudy (anonymous):
I'm still kinda confused on changing 1 into a log
OpenStudy (anonymous):
oh waitttt
OpenStudy (rajee_sam):
\[\log_{a} a = 1\]
OpenStudy (rajee_sam):
here we need to have a base of 7
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
so log7 and then 1/x? I'm sure that's wrong.
OpenStudy (rajee_sam):
\[\log_{7} 7 = 1\]
why 1/x, what is that?
OpenStudy (rajee_sam):
now we have\[\log_{7} 7 - 2\log_{7} X\] You write them as a single log like we did our earlier problem
OpenStudy (anonymous):
and it'll come out as a fraction, right?
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OpenStudy (rajee_sam):
log then fraction
OpenStudy (anonymous):
ok so log7 7/x^2 ?
OpenStudy (rajee_sam):
Fantastic \[\log_{7} 7 - 2 \log_{7} X = \log_{7} 7 - \log_{7} X ^{2}\]\[= \log_{7} \frac{ 7 }{ X ^{2} }\]
OpenStudy (anonymous):
yeahhhhhhh!!!!!
OpenStudy (anonymous):
Thanks again.