document.write( "Question 1159200: f(x) = 1/3 log_3(1/4) + log_3(x)\r
\n" ); document.write( "\n" ); document.write( "Write down D_f, the domain of f and then the solve the equation f(x) = -log_1/3(cbrt x).
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Algebra.Com's Answer #782258 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
assuming given log base \"3\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+%281%2F3+%29log%283%2C%281%2F4%29%29+%2B+log%283%2C%28x%29%29\"\r
\n" ); document.write( "\n" ); document.write( "........\"log%283%2C%281%29%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+%281%2F3%29%28-log%283%2C%284%29%29%29+%2B+log%283%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+-%281%2F3+%29log%283%2C%284%29%29+%2B+log%283%2C%28x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=++log%283%2C%28x%29%29-%281%2F3+%29log%283%2C%284%29%29+\".......change to base \"10\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+log%28%28x%29%29%2Flog%28%283%29%29-log%28%284%29%29%2F3log%28%283%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+log%28%28x%29%29%2Flog%28%283%29%29-%282log%282%29%29%2F%283log%283%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "domain:\r
\n" ); document.write( "\n" ); document.write( "{ \"x\" element \"R\" : \"x%3E0\" } (all positive real numbers)
\n" ); document.write( "(assuming a function from reals to reals)\r
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