Question 1001979: Log square root of 1000. Step by step on how to work out thw problem..evaluate qithout calculator Found 2 solutions by rothauserc, MathTherapy:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! sqrt(1000) = 1000^(1/2)
using logarithm exponent rule
log base(b) (m^n) = n * log base(b) (m)
log (base 10) (1000^(1/2) = (1/2) * log base(10) 1000 = (1/2) * 3 = 1.5
note that log base(10) 1000 = log base(10) 10^3 = 3 * log base (10) 10 = 3
