document.write( "Question 928996: How do I find x in the logarithmic equation (1/4)log base 5((x^2-8x+16)^2)=2? \n" ); document.write( "
Algebra.Com's Answer #564046 by Alan3354(69443)\"\" \"About 
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How do I find x in the logarithmic equation (1/4)log base 5((x^2-8x+16)^2)=2?
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\n" ); document.write( "log base 5((x^2-8x+16)^2) = 8
\n" ); document.write( "\"log%285%2C%28x%5E2-8x%2B16%29%5E2%29+=+8\"
\n" ); document.write( "\"2log%285%2C%28x%5E2-8x%2B16%29%29+=+8\"
\n" ); document.write( "\"log%285%2C%28x%5E2-8x%2B16%29%29+=+4\"
\n" ); document.write( "\"log%285%2C%28x-4%29%5E2%29+=+4\"
\n" ); document.write( "\"2log%285%2C%28x-4%29%29+=+4\"
\n" ); document.write( "\"log%285%2C%28x-4%29%29+=+2\"
\n" ); document.write( "\"log%285%2C%28x-4%29%29+=+log%285%2C5%5E2%29+=+log%285%2C25%29\"
\n" ); document.write( "x-4 = 25
\n" ); document.write( "x = 29
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