document.write( "Question 1162871: Solve the following exponential equation
\n" ); document.write( "(1)5^2x-26(5^x)+25=0
\n" ); document.write( "(2)2^2x+2^x+1-8=0
\n" ); document.write( "(3)2^x=0.125
\n" ); document.write( "(4)25^5x=625 \n" ); document.write( "

Algebra.Com's Answer #786759 by ikleyn(52777) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "(1)  Introduce new variable  u = .\r\n" );
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document.write( "     Then the equation becomes\r\n" );
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document.write( "          = 0\r\n" );
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document.write( "         (u-1)*(u-25) = 0.\r\n" );
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document.write( "    It has two roots  u = 1  and  u = 25.\r\n" );
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document.write( "    The root  u = 1  means that   = 1,  i.e.  x = 0.\r\n" );
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document.write( "    The root  u = 25   means that   = 25,  i.e.  x = 2.\r\n" );
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document.write( "    ANSWER.  There are two solutions  0 and 2.\r\n" );
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document.write( "(2)  This equation is presented in the STARNGE form in the post.\r\n" );
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document.write( "   \r\n" );
document.write( "     I do not believe it is correct.\r\n" );
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document.write( "     Double check it (!)\r\n" );
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document.write( "(3)    = 0.125 = .\r\n" );
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document.write( "      x = -3.    ANSWEWR\r\n" );
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document.write( "(4)   = 625\r\n" );
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document.write( "      = \r\n" );
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document.write( "     10x = 4\r\n" );
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document.write( "       x =  = 0.4.    ANSWER\r\n" );
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