document.write( "Question 980115: log 2 base 7 =m, then log 28 base 49 is equal to
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Algebra.Com's Answer #601344 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+log%28+2%2C7+%29+=+m+\"
\n" ); document.write( "The inverse is:
\n" ); document.write( "\"+2%5Em+=+7+\"
\n" ); document.write( "If I square both sides:
\n" ); document.write( "\"+2%5E%282m%29+=+49+\"
\n" ); document.write( "\"+7%5E2+=+2%5E%282m%29+\"
\n" ); document.write( "(1) \"+7%5E%28%282%2Fm%29%29+=+2%5E2+\"
\n" ); document.write( "---------------------
\n" ); document.write( "I will say:
\n" ); document.write( "\"+log%28+49%2C+28+%29+=+x+\"
\n" ); document.write( "the inverse is:
\n" ); document.write( "\"+49%5Ex+=+28+\"
\n" ); document.write( "This is the same as:
\n" ); document.write( "\"+7%5E%282x%29+=+28+\"
\n" ); document.write( "\"+7%5E%282x%29+=+7%2A4+\"
\n" ); document.write( "\"+7%5E%28+2x-1+%29+=+4+\"
\n" ); document.write( "(2) \"+7%5E%28+2x-1+%29+=+2%5E2+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Comparing (1) and (2), I can say:
\n" ); document.write( "\"+7%5E%28+2x-1+%29+=+7%5E%282%2Fm%29+\"
\n" ); document.write( "\"+2x+-+1+=+2%2Fm+\"
\n" ); document.write( "\"+2x+=+2%2Fm+%2B+1+\"
\n" ); document.write( "\"+x+=+1%2Fm+%2B+1%2F2+\" answer
\n" ); document.write( "check:
\n" ); document.write( "\"+2%5Em+=+7+\"
\n" ); document.write( "\"+m+=+.8451%2F.30103+\"
\n" ); document.write( "\"+m+=+2.80736+\"
\n" ); document.write( "--------------------
\n" ); document.write( "I said:
\n" ); document.write( "\"+x+=+1%2Fm+%2B+1%2F2+\"
\n" ); document.write( "\"+x+=+1%2F2.80736+%2B+1%2F2+\"
\n" ); document.write( "\"+x+=+.85621+\"
\n" ); document.write( "and
\n" ); document.write( "\"+49%5Ex+=+28+\"
\n" ); document.write( "\"+49%5E.85621+=+28+\"
\n" ); document.write( "\"+28.0003+=+28+\"
\n" ); document.write( "close enough\r
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