document.write( "Question 1074918: Please help me solve this question - I've been trying to set the bases equal. I know that the answer is x=3, but I can't quite get there with showing my work.\r
\n" ); document.write( "\n" ); document.write( "2*(2^2x)=(4^x)+64\r
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Algebra.Com's Answer #689586 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Please help me solve this question - I've been trying to set the bases equal. I know that the answer is x=3, but I can't quite get there with showing my work.\r
\n" ); document.write( "\n" ); document.write( "2*(2^2x)=(4^x)+64\r
\n" ); document.write( "\n" ); document.write( "Thank you
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\"2%282%5E%282x%29%29+=+4%5Ex+%2B+64\"
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document.write( "\"2%282%5E%282x%29%29+-+4%5Ex+=+64\" ------ Subtracting \"4%5Ex\" from each side
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document.write( "\"2%282%5E%282x%29%29+-+%282%5E2%29%5Ex+=+64\"
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document.write( "\"2%282%5E%282x%29%29+-+2%5E%282x%29+=+64\"
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document.write( "\"2%5E%282x%29+=+64\"
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document.write( "\"2%5E%282x%29+=+2%5E6\"
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document.write( "2x = 6 ------- Bases are equal and so are their exponents
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document.write( "\"highlight_green%28matrix%281%2C5%2C+x%2C+%22=%22%2C+6%2F2%2C+%22=%22%2C+3%29%29\" \n" );
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