document.write( "Question 1001979: Log square root of 1000. Step by step on how to work out thw problem..evaluate qithout calculator \n" ); document.write( "
Algebra.Com's Answer #619000 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
sqrt(1000) = 1000^(1/2)
\n" ); document.write( "using logarithm exponent rule
\n" ); document.write( "log base(b) (m^n) = n * log base(b) (m)
\n" ); document.write( "log (base 10) (1000^(1/2) = (1/2) * log base(10) 1000 = (1/2) * 3 = 1.5
\n" ); document.write( "note that log base(10) 1000 = log base(10) 10^3 = 3 * log base (10) 10 = 3
\n" ); document.write( "
\n" ); document.write( "
\n" );