Mathematics
8 Online
OpenStudy (anonymous):
x = 4^{log_{4} 9 + log_{4} 4}
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OpenStudy (anonymous):
\[\huge 4^{\log_4(9)+\log_4(4)}\]?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
first off it is the same as
\[4^{\log_4(36)}\]
OpenStudy (anonymous):
and since the log is the inverse of the exponential, you get \(36\) as a final answer
OpenStudy (anonymous):
you multiply it?
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OpenStudy (anonymous):
\[\log(A)+\log(B)=\log(AB)\]
OpenStudy (anonymous):
thank you very much
OpenStudy (anonymous):
yw
OpenStudy (anonymous):
\frac{9}{7} \log_{5} x = -6
OpenStudy (anonymous):
what do i do? 9/7 log base 5 of x= -6
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OpenStudy (anonymous):
\[\huge \frac{9}{7}\log_5(x)=-6\]?
OpenStudy (anonymous):
yes sir
OpenStudy (anonymous):
multiply by \(\frac{7}{9}\) first
OpenStudy (anonymous):
then
OpenStudy (anonymous):
-4.6666
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OpenStudy (anonymous):
start with
\[\log_5(x)=-\frac{14}{3}\] then
\[\large x=5^{-\frac{14}{3}}\] whatever that is
OpenStudy (anonymous):
oh you're very helpful thank you
OpenStudy (anonymous):
yw
OpenStudy (anonymous):
it wont come out as a real answer
myininaya (myininaya):
you can write that as 5^(-n) as 1/(5^n)
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OpenStudy (anonymous):
still get a weird number
myininaya (myininaya):
well you can write it as \[\frac{1}{5^{\frac{14}{3}}}=\frac{1}{5^\frac{3(4)+2}{3}}=\frac{1}{ 5^4+5^\frac{2}{3}}\]
myininaya (myininaya):
but not sure that looks any better
OpenStudy (anonymous):
what counts as a weird number?
i have heard of
rational
irrational
transcendental
but not "weird"
myininaya (myininaya):
all of those look weird and funny to me
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myininaya (myininaya):
except rational
i like rationals
they are cute and cuddly
OpenStudy (anonymous):
help!!!!!!!
myininaya (myininaya):
@zencvbnmjkl are you doing a multiple choice thing or something and you don't that answer ?
myininaya (myininaya):
is that why you refer to it as weird?
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
it doesnt work in the calculator
OpenStudy (anonymous):
@satellite73
myininaya (myininaya):
it should work in the calculator
myininaya (myininaya):
ok type this:
myininaya (myininaya):
1 division sign ( 5 ^ (14/3) )
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myininaya (myininaya):
make sure you put the parenthesis
OpenStudy (anonymous):
i got it apperciate it
myininaya (myininaya):
np