document.write( "Question 941182: What does x equal in the problem...\r
\n" ); document.write( "\n" ); document.write( "4^(x+1) = (1/2)^(-x) \n" ); document.write( "

Algebra.Com's Answer #573715 by Edwin McCravy(20062) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "We want to get both sides to an exponential with the same base.\r\n" );
document.write( "replace 4 by  and on the right flip the fraction\r\n" );
document.write( "and change the sign of the exponent to positive.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply the exponents on the left\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now the base of the exponentials on both sides are the\r\n" );
document.write( "same positive number (not 1).  So we can equate the\r\n" );
document.write( "exponents:  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Distribute on the left\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add -2 to both sides\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Add -x to both sides\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );