document.write( "Question 32433: How are you tutors doing? Thanks again for this wonderful site.\r
\n" ); document.write( "\n" ); document.write( "Please explain how to solve this exponents question and similar questions:\r
\n" ); document.write( "\n" ); document.write( "If 2^x - 2^(x-2) = 3(2^13), what is the value of x?\r
\n" ); document.write( "\n" ); document.write( "Please note that 2^x means 2 raised to the power x and 2^(x-2) means 2 raised to the power (x-2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thanks for your time
\n" ); document.write( "Tolly
\n" ); document.write( "

Algebra.Com's Answer #18926 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
2^x - 2^(x-2) = 3(2^13)
\n" ); document.write( "=>2^x(1-1/4) = 3(2^13)
\n" ); document.write( "=>2^x(3/4) = 3(2^13)
\n" ); document.write( "=>2^x = 2^15
\n" ); document.write( "=>x=15;
\n" ); document.write( "Answer: x belongs to {15}
\n" ); document.write( "
\n" ); document.write( "
\n" );