SOLUTION: Log square root of 1000. Step by step on how to work out thw problem..evaluate qithout calculator

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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

Answer by MathTherapy(10808)   (Show Source): You can put this solution on YOUR website!

Log square root of 1000. Step by step on how to work out thw problem..evaluate qithout calculator
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