document.write( "Question 1176860: X^4 + 2^x = 89 \n" ); document.write( "

Algebra.Com's Answer #804725 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "First, notice that x= 3 is the solution\r\n" );
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document.write( "    3^4 + 2^3 = 81 + 8 = 89.\r\n" );
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document.write( "Second, notice that the left side of the equation is MONOTONOCALLY increasing function of x.\r\n" );
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document.write( "It implies that the found value  x= 3 is a UNIQUE solution to the equation: there is NO other solutions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "ANSWER. The unique solution to the given equation is x= 3.\r
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