Mathematics
8 Online
OpenStudy (anonymous):
HELP!! Simplify log8 7 – log8 s + log8 t – log8 4
HELP!! Simplify log8 7 – log8 s + log8 t – log8 4
@Mathematics
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OpenStudy (anonymous):
log base 8?
OpenStudy (anonymous):
Yes :)
OpenStudy (anonymous):
\[\log(\frac{7t}{4s})\]
OpenStudy (anonymous):
are u sure?
OpenStudy (anonymous):
ones with plus go in the numerator, ones with minus go in the denominator
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OpenStudy (anonymous):
oh ya
OpenStudy (anonymous):
Ok so its like putting the first half into a fraction and the second part another fraction and multiply across?
OpenStudy (anonymous):
yeah i am pretty sure... of course it is true that
\[\log_8(4)=\frac{2}{3}\] but i doubt this is part of the problem
OpenStudy (anonymous):
you forgot to add the base 8 in ur first answer
OpenStudy (anonymous):
\[\log(a)+\log(b)=\log(ab)\] and
\[log(a)-\log(b)=\log(\frac{a}{b})\]
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OpenStudy (anonymous):
base is not relevant to this problem
OpenStudy (anonymous):
yes it is
OpenStudy (anonymous):
So would this:
Solve log7 (x – 8) – log7 3 = log7 21
be x = 71
OpenStudy (anonymous):
x is 71?
OpenStudy (anonymous):
I don't think so
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OpenStudy (anonymous):
(x-8)/3=3
OpenStudy (anonymous):
x-8=9
OpenStudy (anonymous):
you need an x in your answer. it would be
\[\log(\frac{x-8}{3})\]
OpenStudy (anonymous):
x=17
OpenStudy (anonymous):
Oh so am I wrong?
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OpenStudy (anonymous):
\[\frac{x-8}{3}=21\]
\[x-8=63\]
\[x=71\]
OpenStudy (anonymous):
But how did you get (x - 8) / 3 = 3
its suppose to equal 21?
OpenStudy (anonymous):
I think I am wrong
OpenStudy (anonymous):
yes it is equal to 21
OpenStudy (anonymous):
71 is correct
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OpenStudy (anonymous):
I have another question, but I will put it on the side so i can give you guys another medal if you help me ^^
OpenStudy (anonymous):
Ya i messed up
OpenStudy (anonymous):
oh who cares abt the medals???
OpenStudy (anonymous):
I just feel bad if I dont give you guys what you deserve for taking ur time to help me haha