document.write( "Question 289032: Can you please help me with this question (the steps to finding the answer)\r
\n" ); document.write( "\n" ); document.write( "Solve algebraically for t: \r
\n" ); document.write( "\n" ); document.write( "4^(-3t) = .10\r
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Algebra.Com's Answer #854248 by ikleyn(53763)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Can you please help me with this question (the steps to finding the answer)
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\n" ); document.write( "4^(-3t) = .10
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\n" ); document.write( "\n" ); document.write( "        The derivation of the solution in the post by @mananth is incorrect.\r
\n" ); document.write( "\n" ); document.write( "        I came to do this job as accurately as it should be done.\r
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document.write( "Your starting equation is\r\n" );
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document.write( "    \"4%5E%28-3t%29\" = 0.1.\r\n" );
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document.write( "Take logarithm base 10 of both sides\r\n" );
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document.write( "    (-3t)*log(4) = log(0.1),\r\n" );
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document.write( "    (-3t)*log(4) = -1,\r\n" );
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document.write( "    t = \"%28-1%29%2F%28-3%2Alog%28%284%29%29%29\" = \"1%2F%283%2Alog%28%284%29%29%29\" = 0.55365 (approximately).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly to teach you in a right way.\r
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