document.write( "Question 7173: In the equation: 0.8 = 5^n, how do you solve for n?\r
\n" ); document.write( "\n" ); document.write( "So far I have this:\r
\n" ); document.write( "\n" ); document.write( "nth root(8) = nth root(5^n)
\n" ); document.write( "nth root(8) = 5\r
\n" ); document.write( "\n" ); document.write( "Where do I go from here?
\n" ); document.write( "

Algebra.Com's Answer #3964 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You should use logarithms on this problem.\r
\n" ); document.write( "\n" ); document.write( "\"0.8+=+5%5En\" Take the log of both sides:
\n" ); document.write( "\"log%280.8%29+=+nlog%285%29\" Divide both sides by log(5)
\n" ); document.write( "\"n+=+log%280.8%29%2Flog%285%29\" Do this in your calculator for more accuracy.
\n" ); document.write( "\"n+=+-.09691%2F.69897\"
\n" ); document.write( "\"n+=+-.13865\" Approximately\r
\n" ); document.write( "\n" ); document.write( "Use your calculator to check:\r
\n" ); document.write( "\n" ); document.write( "\"5%5E-.13865+=+0.7999996\"
\n" ); document.write( "
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