document.write( "Question 159168This question is from textbook Elementary and Intermediate Algebra: A Combined Approach
\n" ); document.write( ": (8^2x)(4^(2x – 1)) = 16 \n" ); document.write( "
Algebra.Com's Answer #117318 by ankor@dixie-net.com(22740)\"\" \"About 
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Assume the problem is:
\n" ); document.write( "\"8%5E%282x%29%2A4%5E%282x-1%29\" = 16
\n" ); document.write( "\"log%288%5E%282x%29%29+%2B+log%284%5E%282x-1%29%29\" = log(16)
\n" ); document.write( "log equiv of exponents
\n" ); document.write( "\"2x%2Alog%288%29+%2B+%282x-1%29%2Alog%284%29\" = log(16)
\n" ); document.write( ":
\n" ); document.write( "Find the logs
\n" ); document.write( ".9031(2x) + .6021(2x-1) = 1.2041
\n" ); document.write( ":
\n" ); document.write( "1.8062x + 1.2042x - .6021 = 1.2041
\n" ); document.write( ":
\n" ); document.write( "3.01x = 1.2041 + .6021
\n" ); document.write( ":
\n" ); document.write( "3.01x = 1.8062
\n" ); document.write( "x = \"1.8062%2F3.01\"
\n" ); document.write( "x = .6
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on a calc; (8^1.2) * (4^.2) = 16 \n" ); document.write( "
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