document.write( "Question 717610: 8 to the x equals 4 \n" ); document.write( "

Algebra.Com's Answer #440432 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"8%5Ex=4\"$
\n" ); document.write( "Since 8 and 4 are both powers of 2, we can solve this quickly, easily and without logarithms:
\n" ); document.write( " $\"%282%5E3%29%5Ex+=+2%5E2\"$
\n" ); document.write( " $\"2%5E%283x%29+=+2%5E2\"$
\n" ); document.write( "Two powers of 2 cannot be equal unless their exponents are equal.
\n" ); document.write( " $\"3x+=+2\"$
\n" ); document.write( " $\"x+=+2%2F3\"$ \n" ); document.write( "

\n" );