document.write( "Question 150891: 2^2x=64 \n" ); document.write( "

Algebra.Com's Answer #110819 by Earlsdon(6294) $\"\"$ $\"About$

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Solve for x:
\n" ); document.write( " $\"2%5E%282x%29+=+64\"$ Substitute $\"64+=+2%5E6\"$
\n" ); document.write( " $\"2%5E%282x%29+=+2%5E6\"$ If the bases (2) are equal, then the exponents are equal.
\n" ); document.write( " $\"2x+=+6\"$ Divide both sides by 2.
\n" ); document.write( " $\"x+=+3\"$ Check:
\n" ); document.write( " $\"2%5E%282x%29+=+64\"$ Substitute x = 3.
\n" ); document.write( " $\"2%5E%282%2A3%29+=+64\"$
\n" ); document.write( " $\"2%5E6+=+64\"$
\n" ); document.write( " $\"64+=+64\"$ \n" ); document.write( "

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