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OpenStudy (anonymous):
log3(2−x)−1/2log3( x+6)=1
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OpenStudy (alfie):
\[1 = \log_33\] Then apply the logs properties.
jhonyy9 (jhonyy9):
(2-x)/sqrt(x+6)=3
OpenStudy (anonymous):
ok
jhonyy9 (jhonyy9):
2-x=3sqrt(x+6)
OpenStudy (anonymous):
can u help me to simplify it by solving for x?
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jhonyy9 (jhonyy9):
yes square both sides
jhonyy9 (jhonyy9):
4-4x+x2=9(x+6)
jhonyy9 (jhonyy9):
x2-4x+4=9x+54 x2-13x-50=0
jhonyy9 (jhonyy9):
x1,2=(13+/- sqrt(169+200))/2 =(13+/- sqrt(369))/2
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