document.write( "Question 421271: I need your help with this problem!\r
\n" ); document.write( "\n" ); document.write( "Use a graphing calculator to solve the following equation for x.
\n" ); document.write( "2^x=19\r
\n" ); document.write( "\n" ); document.write( "The solution set is
\n" ); document.write( "(Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)
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Algebra.Com's Answer #294205 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "\"2%5Ex=19\" \r
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\n" ); document.write( "\n" ); document.write( "This equation can be written using a logarithm (base 2):\r
\n" ); document.write( "\n" ); document.write( "\"log2%2819%29+=+x\"\r
\n" ); document.write( "\n" ); document.write( "But base two logarithms we can convert to a base 10 logarithm:\r
\n" ); document.write( "\n" ); document.write( "\"log2%2819%29=++log%2819%29%2Flog%282%29\"\r
\n" ); document.write( "\n" ); document.write( "Our equation then becomes:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+log%2819%29+%2F+log%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+1.279%2F0.301\"\r
\n" ); document.write( "\n" ); document.write( "\"x=4.249\"\r
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