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OpenStudy (anonymous):
solve 27^3x+2=9^2x
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OpenStudy (anonymous):
its 9^2x
OpenStudy (anonymous):
\[27^{3x+2}+2=9^{2x}\]
OpenStudy (zarkon):
\[27^{3x+2}=9^{2x}\]?
OpenStudy (anonymous):
yes
OpenStudy (zarkon):
\[(3^3)^{3x+2}=(3^2)^{2x}\] \[3^{3(3x+2)}=3^{2\cdot2x}\] so solve \[3(3x+2)=2\cdot2x\]
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OpenStudy (anonymous):
-5/6?
OpenStudy (zarkon):
close
OpenStudy (zarkon):
flip it
OpenStudy (anonymous):
so x = -6/5?
OpenStudy (zarkon):
yes
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OpenStudy (anonymous):
thank you!
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