document.write( "Question 1006392: Solve for x in the following.
\n" ); document.write( "A) 3^x=27
\n" ); document.write( "B) 16^x=64
\n" ); document.write( "C) 2=(1/32)^x
\n" ); document.write( "D) 5^(x-4)=25^(2x+1)
\n" ); document.write( "

Algebra.Com's Answer #622520 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Solve for \"x\" in the following.
\n" ); document.write( "A)
\n" ); document.write( "\"3%5Ex=27\"
\n" ); document.write( "\"3%5Ex=3%5E3\".......if base same, exponents are same too
\n" ); document.write( "\"x=3\"\r
\n" ); document.write( "\n" ); document.write( "or, using logarithm:
\n" ); document.write( "\"log%283%5Ex%29=log%2827%29\"
\n" ); document.write( "\"log%283%5Ex%29=log%283%5E3%29\"
\n" ); document.write( "\"x%2Alog%283%29=3%2Alog%283%29\"
\n" ); document.write( "\"x=3%2Alog%283%29%2Flog%283%29\"
\n" ); document.write( "\"x=3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "B)
\n" ); document.write( "\"16%5Ex=64\"
\n" ); document.write( "\"%282%5E4%29%5Ex=2%5E6\"
\n" ); document.write( "\"2%5E%284x%29=2%5E6\".........if base same, exponents are same too
\n" ); document.write( "\"4x=6\"
\n" ); document.write( "\"x=6%2F4\"
\n" ); document.write( "\"x=3%2F2\"\r
\n" ); document.write( "\n" ); document.write( "C)
\n" ); document.write( "\"2=%281%2F32%29%5Ex\"
\n" ); document.write( "\"2=1%5Ex%2F32%5Ex\"
\n" ); document.write( "\"2=1%2F32%5Ex\"
\n" ); document.write( "\"2%2A32%5Ex=1\"
\n" ); document.write( "\"2%2A%282%5E5%29%5Ex=1\"
\n" ); document.write( "\"2%2A2%5E%285x%29=1\"
\n" ); document.write( "\"2%5E%285x%2B1%29=1\"......since \"1=2%5E0\", we have
\n" ); document.write( "\"2%5E%285x%2B1%29=2%5E0\"......if base same, we have
\n" ); document.write( "\"5x%2B1=0\"
\n" ); document.write( "\"5x=-1\"
\n" ); document.write( "\"x=-1%2F5\"\r
\n" ); document.write( "\n" ); document.write( "D)\r
\n" ); document.write( "\n" ); document.write( "\"+5%5E%28x-4%29=25%5E%282x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+5%5E%28x-4%29=%285%5E2%29%5E%282x%2B1%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+5%5E%28x-4%29=5%5E%282%282x%2B1%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"+5%5E%28x-4%29=5%5E%284x%2B2%29\"......if base same, we have\r
\n" ); document.write( "\n" ); document.write( "\"+x-4=4x%2B2\"\r
\n" ); document.write( "\n" ); document.write( "\"-2-4=4x-x\"\r
\n" ); document.write( "\n" ); document.write( "\"-6=3x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-6%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "you can do it using logarithm like I did in A
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