document.write( "Question 271879: 1.solve for x
\n" ); document.write( "log4 x^5=-1\r
\n" ); document.write( "\n" ); document.write( "2.solve for x in terms of k
\n" ); document.write( "log9 x + log9(x+9)=k\r
\n" ); document.write( "\n" ); document.write( "x=?
\n" ); document.write( "find x if k = 10\r
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Algebra.Com's Answer #198958 by dabanfield(803)\"\" \"About 
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1.solve for x
\n" ); document.write( "log4 x^5=-1
\n" ); document.write( "2.solve for x in terms of k
\n" ); document.write( "log9 x + log9(x+9)=k
\n" ); document.write( "x=?
\n" ); document.write( "find x if k = 10 \r
\n" ); document.write( "\n" ); document.write( "1.) log (base 4) x^5 = -1 so
\n" ); document.write( " 5*log (base 4) x = -1
\n" ); document.write( " log (base 4) x = -1/5 so by definition of the log then
\n" ); document.write( " 4^(-1/5) = x\r
\n" ); document.write( "\n" ); document.write( "2.) log9 x + log9 (x+9) = k so
\n" ); document.write( " log9 (9*(x+9)) = k so by definition of a log:
\n" ); document.write( " 9^k = 9*(x+9)
\n" ); document.write( " 9^k = 9x + 81
\n" ); document.write( " 9x = 9^k-81
\n" ); document.write( " x = 9^k/9-(81/9)
\n" ); document.write( " x = 9^(k-1) - 9\r
\n" ); document.write( "\n" ); document.write( "When k = 10 then x = 9^(10-1)- 9
\n" ); document.write( " x = 9^9 - 9
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