document.write( "Question 492608: I need help with these questions
\n" ); document.write( "5^x=125
\n" ); document.write( "8^x+1=16^x
\n" ); document.write( "81^(3/4)=x
\n" ); document.write( "8^(-2/3)=x \n" ); document.write( "

Algebra.Com's Answer #853654 by MathTherapy(10699) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "I need help with these questions\r\n" );
document.write( "5^x=125\r\n" );
document.write( "8^x+1=16^x\r\n" );
document.write( "81^(3/4)=x\r\n" );
document.write( "8^(-2/3)=x\r\n" );
document.write( "==========\r\n" );
document.write( "Other PERSON'S response:\r\n" );
document.write( ".\r\n" );
document.write( "8^x+1=16^x\r\n" );
document.write( "don't know how to do the algebra on this one.\r\n" );
document.write( "My graphing program gives and answer of x=.464968..\r\n" );
document.write( "===\r\n" );
document.write( "This AUTHOR'S response to the above:\r\n" );
document.write( "       8^x+1=16^x\r\n" );
document.write( "    \r\n" );
document.write( " \r\n" );
document.write( " \r\n" );
document.write( "   3(x + 1) = 4x --- EQUATING exponents, since bases are equal\r\n" );
document.write( "     3x + 3 = 4x\r\n" );
document.write( "          3 = 4x - 3x\r\n" );
document.write( "         \r\n" );
document.write( "\r\n" );
document.write( "It appears as though the person interpreted this as: \r\n" );
document.write( "==============\r\n" );
document.write( "Other PERSON'S response:\r\n" );
document.write( "..\r\n" );
document.write( "81^(3/4)=x\r\n" );
document.write( "Take the 4th root of 81 and cube it\r\n" );
document.write( "81^(1/4)=3\r\n" );
document.write( "3^2=9\r\n" );
document.write( "x=9\r\n" );
document.write( "===\r\n" );
document.write( "This AUTHOR'S response to the above:\r\n" );
document.write( "CUBING the 4th root of 81 doesn't result in , but  instead!!\r\n" );
document.write( "So, the CORRECT answer is 27, NOT 9.

\n" ); document.write( "

\n" );