document.write( "Question 198101: 5=4^x \n" ); document.write( "

Algebra.Com's Answer #148566 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5=4%5Ex\"$
\n" ); document.write( "Take the log to the base 10 of both sides
\n" ); document.write( " $\"log%285%29+=+log%284%5Ex%29\"$
\n" ); document.write( "Note the general rule:
\n" ); document.write( " $\"log%28a%5Eb%29+=+b%2Alog%28a%29\"$ , so
\n" ); document.write( " $\"log%285%29+=+x%2Alog%284%29\"$
\n" ); document.write( " $\"x+=+log%285%29%2Flog%284%29\"$
\n" ); document.write( " $\"x+=+.69897%2F.60206\"$
\n" ); document.write( " $\"x+=+1.161\"$
\n" ); document.write( "I can check the answer with my calculator
\n" ); document.write( " $\"5+=+4%5E1.161\"$
\n" ); document.write( " $\"5+=+4.99999995\"$ (error due to rounding)
\n" ); document.write( "OK \n" ); document.write( "

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