document.write( "Question 78884: Hey, I was wondering you you solve radical equations such as this.
\n" ); document.write( "3 to the square root of 2x+3 = the square root of x-7\r
\n" ); document.write( "\n" ); document.write( "And also, what is a exponential decay? \n" ); document.write( "

Algebra.Com's Answer #56599 by mathdoc314(58) $\"\"$ $\"About$

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\n" ); document.write( " $\"+3+%5E+sqrt%282x+%2B+3%29+=+sqrt%28x-7%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "I have never seen an equation like this solved. You could find some kind of numeric solver to find a numeric solution. I don't think you can do it with the kind of algebra most people know. Maybe Ramanujan would have been able to see it.\r
\n" ); document.write( "\n" ); document.write( "Exponential decay happens when something is disappearing at a rate that is proportional to the amount that is remaining. So as there is less and less of it, it disappears slower and slower. For example, if there is x amount of radioactive substance found in a material at the time it died, and the amount keeps decreasing by 0.003 per year (times the amount that there is), that is exponential decay. The equation looks like\r
\n" ); document.write( "\n" ); document.write( "x(t) = x(0) e^(-0.003 t)\r
\n" ); document.write( "\n" ); document.write( "where t is in years, and e^u is the exponential function, and e is the natural base for logarithms. \r
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