log5(3x+1)+log5(x+1)=1
the (log5), 5 is a bit down the log :)
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jhonyy9 (jhonyy9):
(3x+1)(x+1)/5
OpenStudy (anonymous):
start with
\[\log_2((3x+1)(x+1))=1\] then
\[(3x+1)(x+1)=5^1\]
jhonyy9 (jhonyy9):
1 is log5(5)
jhonyy9 (jhonyy9):
than coming on the left part will be with sign minus than result divide
OpenStudy (anonymous):
then
\[3 x^2+4 x-4 = 0\] and then
\[(x+2)(3x-2)=0\] so
\[x=\frac{2}{3}\] and you can ignore the negative answer because you cannot take the log of a negative number
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jhonyy9 (jhonyy9):
satellite why not is right ???
OpenStudy (anonymous):
@krypot
\[\log_5(x)=y\iff x = 5^y\]
OpenStudy (anonymous):
*krypton, sorry
OpenStudy (anonymous):
lol
OpenStudy (anonymous):
so
\[\log_5((3x+1)(x+1))=1\iff (3x+1)(x+1)=5\]
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