document.write( "Question 607657: how do I solve 3^x=0.4 when using natural logarithms \n" ); document.write( "

Algebra.Com's Answer #382810 by jerryguo41(197) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3%5Ex=0.4\"$
\n" ); document.write( "natLog both sides of the equation
\n" ); document.write( " $\"natlog3%5Ex=natlog0.4\"$
\n" ); document.write( " $\"natlog3%5Ex\"$ can be written as $\"x%2Anatlog3\"$
\n" ); document.write( "thus divide both sides by $\"natlog3\"$
\n" ); document.write( " $\"x=natlog0.4%2Fnatlog3\"$
\n" ); document.write( " $\"x=-0.834\"$
\n" ); document.write( "This would be the same with any base log.
\n" ); document.write( "natlog = log base e \n" ); document.write( "

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