document.write( "Question 1030949: (logx^(16))-(log2^(x))=-3. find x? \n" ); document.write( "
Algebra.Com's Answer #645676 by Theo(13342)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "when you have an equation where x is in the log function and x is in the exponent, i haven't been able to figure out how to solve that type of equation without resorting to graphing.\r
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\n" ); document.write( "\n" ); document.write( "by graphing, i got the following:\r
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\n" ); document.write( "\n" ); document.write( "x1 is equal to -.6318474\r
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\n" ); document.write( "\n" ); document.write( "x2 is equal to .66846195\r
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\n" ); document.write( "\n" ); document.write( "both x1 and x2 are solutions to the equations.\r
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\n" ); document.write( "\n" ); document.write( "i confirmed by replacing x with the value of x1 in the original equation, and by replacing x with the value of x2 in the original equation.\r
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\n" ); document.write( "\n" ); document.write( "both values are confirmed to be solutions because the original equation is true after evaluating the original equation with those respective values of x.\r
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\n" ); document.write( "\n" ); document.write( "i graphed y = log(x^16) - log(2^x) and i graphed y = -3.\r
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\n" ); document.write( "\n" ); document.write( "the intersection of those two equations on the graph are the solutions.\r
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\n" ); document.write( "\n" ); document.write( "the graph of my equation is shown below.\r
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\n" ); document.write( "\n" ); document.write( "the solutions shown there are rounded.
\n" ); document.write( "i also graphed on my TI-86 plus.
\n" ); document.write( "those solutions were still rounded, but allowed for more decimal digits to be displayed.\r
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