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OpenStudy (anonymous):
solve
logbase5 (25x)
its not 1/25 i tried it
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OpenStudy (dcolley):
2
OpenStudy (anonymous):
Just remember this
\[\log_a b^c = clog_a b\]
OpenStudy (anonymous):
if you have
\[\log_5(25x)\] there is nothing to solve for. you would rewrite it as
\[\log_5(25)+\log_5(x)=2+\log_5(x)\]
OpenStudy (anonymous):
unless it is
\[\log_5(25^x)\] which is a different story
OpenStudy (anonymous):
@satellite73 ,Exactly, i just wanted to say that :D
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OpenStudy (anonymous):
It was the 2+logbase5(x)
OpenStudy (anonymous):
can you help me do logbase3(9x)?
OpenStudy (anonymous):
exactly the same idea
OpenStudy (anonymous):
I see that you do logbase2 3+ logbase2 (x)= ?
OpenStudy (anonymous):
use
\[\log(ab)=\log(a)+\log(b)\] to rewrite as
\[\log_3(9)+\log_3(x)\]
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OpenStudy (anonymous):
then note that
\[\log_3(9)=2\] because \[3^2=9\]
OpenStudy (anonymous):
ok i got that
OpenStudy (anonymous):
so answer would be
\[2+\log_3(x)\]
OpenStudy (anonymous):
ohhhhhhh ok thank you i was wondering where the 2 came from but now i see
OpenStudy (anonymous):
oh good. same place it came from in the first one right?
\[\log_5(25)=2\] because
\[5^2=25\]
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OpenStudy (anonymous):
yes [=
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