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OpenStudy (anonymous):
solve for x Solve for x: 125^5x−9=(1/625)^9x−7
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jhonyy9 (jhonyy9):
\[(5^{3})^{5}x-9=(5^{-4})^{9}x -7\]
jhonyy9 (jhonyy9):
\[5^{15}x -9 = 5^{-36}x -7 \]
jhonyy9 (jhonyy9):
\[5^{15}x - 5^{-36}x = 2\]
jhonyy9 (jhonyy9):
\[x(5^{15} -5^{-36})=2\]
jhonyy9 (jhonyy9):
\[x= 2/(5^{15} -5^{-36})\]
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