document.write( "Question 1059802: Use like bases to solve the exponential equation for x.
\n" ); document.write( "256 · 4^(9x + 3) = 64
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Algebra.Com's Answer #674867 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Express the whole thing using base-two. \r
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\n" ); document.write( "\n" ); document.write( "\"64=8%5E2=%282%5E3%29%5E2=2%5E6\"\r
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\n" ); document.write( "\n" ); document.write( "\"256=2%5E8\"\r
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\n" ); document.write( "\n" ); document.write( "----
\n" ); document.write( "\"4%5E%289x%2B3%29=64%2F256\"\r
\n" ); document.write( "\n" ); document.write( "\"%282%5E2%29%5E%289x%2B3%29=%282%5E6%29%2F%282%5E8%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2%5E%282%289x%2B3%29%29=1%2F2%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"2%5E%2818x%2B6%29=2%5E%28-2%29\"\r
\n" ); document.write( "\n" ); document.write( "You should understand, left and right members each are the base 2, raised to different expressioned exponents. The exponents must be equal. You can try taking logarithms-base two of both members, but you should understand through corresponding parts without the taking of logs....\r
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\n" ); document.write( "\n" ); document.write( "\"18x%2B6=-2\"\r
\n" ); document.write( "\n" ); document.write( "\"18x=-8\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=-4%2F9%29\"
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