document.write( "Question 1088326: solve the exponential equation by using the property that bx = by implies x = y, for b> 0 and b ≠ 1
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Algebra.Com's Answer #702589 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "solve the exponential equation by using the property that bx = by implies x = y, for b> 0 and b ≠ 1
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document.write( "1.  Before solving this problem, let me say you that the formulation in the post is not correct.\r\n" );
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document.write( "    The correct formulation, PROBABLY, is THIS:\r\n" );
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document.write( "       solve the exponential equation by using the property that b^x = b^y implies x = y, for b> 0 and b ≠ 1\r\n" );
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document.write( "       27^1/3x=(1/9)^2x-1\r\n" );
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document.write( "    (By saying PROBABLY, I am actually 120% sure).\r\n" );
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document.write( "2.  Now the solution:\r\n" );
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document.write( "    27^((1/3)*x) = (1/9)^(2x-1)  ====>\r\n" );
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document.write( "    3*(3*(1/3)*x) = (1/3)^(2*(2x-1))  ====>\r\n" );
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document.write( "     =   ====>\r\n" );
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document.write( "     =   ====>\r\n" );
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document.write( "     x = -4x + 2  ====>  5x = 2  ====>  x =  = 0.4.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. x = $\"2%2F5\"$ = 0.4.\r
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