document.write( "Question 410544: Could you show me the steps you did to solve 64^x=16^(x-1) \n" ); document.write( "

Algebra.Com's Answer #288661 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "64^x=16^(x-1)
\n" );
document.write( " (2^6)^x = (2^4)^(x-1)
\n" );
document.write( "  2^6x = 2^4(x-1)
\n" );
document.write( "    6x = 4(x-1)
\n" );
document.write( "     2x = -4
\n" );
document.write( "      x = -2
\n" );
document.write( "CHECKING our Answer***
\n" );
document.write( "  64^-2 = 16 ^-3
\n" );
document.write( "   1/4096 = 1/4096 \n" );
document.write( "

\n" );