document.write( "Question 41300: I am getting stuck on this one:\r
\n" ); document.write( "\n" ); document.write( "1/8=4^5x-2\r
\n" ); document.write( "\n" ); document.write( "Please Help \n" ); document.write( "

Algebra.Com's Answer #26697 by psbhowmick(878) $\"\"$ $\"About$

You can put this solution on YOUR website!
I presume that your equation is $\"1%2F8=4%5E%285x-2%29\"$ .
\n" ); document.write( "This can be written as $\"2%5E-3=%282%5E2%29%5E%285x-2%29\"$
\n" ); document.write( "or $\"2%5E-3=2%5E%282%285x-2%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Equating the index of 2 on both sides
\n" ); document.write( "-3 = 2(5x - 2)
\n" ); document.write( "or 10x = 4 - 3 = 1
\n" ); document.write( "or x = 1/10 =0.1\r
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\n" ); document.write( "\n" ); document.write( "Answer is 0.1.\r
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\n" ); document.write( "\n" ); document.write( "However if the equation is $\"1%2F8=4%5E%285x%29-2\"$ then
\n" ); document.write( " $\"1%2F8+%2B+2+=4%5E%285x%29\"$
\n" ); document.write( "or $\"17%2F8+=%282%5E2%29%5E%285x%29\"$
\n" ); document.write( "or $\"17%2F8+=2%5E%282%2A5x%29\"$
\n" ); document.write( "or $\"17+=2%5E%2810x%2B3%29\"$ since $\"8=2%5E3\"$
\n" ); document.write( "Taking logarithm of both sides w.r.t. base 10
\n" ); document.write( "or log(17) = (10x+3)log(2)
\n" ); document.write( "or 10x + 3 = $\"log%2817%29%2Flog%282%29\"$ = 4.087463
\n" ); document.write( "or 10x = 1.087463
\n" ); document.write( "or x = 0.1087463\r
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\n" ); document.write( "\n" ); document.write( "Then the answer is 0.1087463.\r
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\n" ); document.write( "\n" ); document.write( "Next time, before you put up a question make sure that there is no controversy about brackets. \n" ); document.write( "

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