document.write( "Question 270985: Solve 8^(x+8)=32^x \n" ); document.write( "

Algebra.Com's Answer #198458 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
we start with
\n" ); document.write( " $\"8%5E%28x%2B8%29=32%5Ex\"$
\n" ); document.write( "step 1 - rewrite as
\n" ); document.write( "(ii) $\"8%5Ex%2A8%5E8+=+32%5Ex\"$
\n" ); document.write( "Now 32^x = 8^x*4^x.
\n" ); document.write( "step 2 - divide by 8^x to get
\n" ); document.write( "(iii) $\"8%5E8+=+8%5Ex%2A4%5Ex%2F8%5Ex\"$
\n" ); document.write( "step 3 - cancel the 8^x to get
\n" ); document.write( "(iv) $\"8%5E8+=+4%5Ex\"$
\n" ); document.write( "step 4 - rewrite both as base 2 to a power as
\n" ); document.write( "(vii) $\"%282%5E3%29%5E8+=+%282%5E2%29%5Ex\"$
\n" ); document.write( "step 5 - use rules of exponents to get
\n" ); document.write( "(viii) $\"2%5E24+=+2%5E2x\"$
\n" ); document.write( "step 6 - eliminate the base 2's to get
\n" ); document.write( "(ix) $\"24+=+2x\"$
\n" ); document.write( "step 7 - divide by 2 to get
\n" ); document.write( "(x) $\"x+=+12\"$ \n" ); document.write( "

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