document.write( "Question 1129501: How would I write 912673^5334 as a power of 9409? \n" ); document.write( "

Algebra.Com's Answer #746082 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
On my calculator:
\n" ); document.write( " $\"+912673+=+9409%2A97+\"$
\n" ); document.write( " $\"+%289409%2A97%29%5E5334+\"$
\n" ); document.write( "Note that:
\n" ); document.write( " $\"+97%5E2+=+9409+\"$ , so
\n" ); document.write( " $\"+%28+9409%2A%28+9409%29%5E%281%2F2%29+%29%5E5334+\"$
\n" ); document.write( " $\"+%28+9409%5E5334+%29%2A%28+9409%5E%28+5334%2F2+%29%29+\"$
\n" ); document.write( " $\"+9409%5E%28+5334+%2B+2667+%29+\"$
\n" ); document.write( " $\"+9409%5E8001+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "Take the log of both sides
\n" ); document.write( " $\"+5334%2Alog%28+912673+%29+=+8001%2Alog%28+9409+%29+\"$
\n" ); document.write( " $\"+5334%2A5.960315203+=+8001%2A3.9735435+\"$
\n" ); document.write( " $\"+31792.32129+=+31792.32154+\"$
\n" ); document.write( "Looks close enough to me\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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