Answer:
1.040
Step-by-step explanation:
log √(120)
= (1/2) log 120
120 = 2³ • 3 • 5
= 0.5(3 log 2 + log 3 + log 5)
Express log 5 in terms of log 2.
log 5 = log (10/2) = log 10 - log 2 = 1 - log 2
= 0.5(3 log 2 + log 3 + 1 - log 2)
= 0.5(2 log 2 + log 3 + 1)
= 0.5(2*0.3010 + 0.4771 + 1)
= 1.03955 or 1.040
