Answer:
log(12) = 1.0791
Step-by-step explanation:
To solve:
log(12)
Now,
log(12) can also be written as :
⇒ log(4 × 3)
or
⇒ log(2 × 2 × 3)
or
⇒ log(2² × 3)
also,
we know the property of log function that
1) log(A × B) = log(A) + log(B)
2) log(Aᵇ) = b × log(A)
Thus applying the property (1) on the on the above rewritten form, we get
⇒ log(2² × 3) = log(2²) + log(3)
now applying the property 2, we get
⇒ 2 × log(2) + log(3)
also,
log(2) = 0.3010
log(3) = 0.4771
substituting the above values, we get
⇒ 2 × 0.3010 + 0.4771
or
⇒ 0.6020 + 0.4771
or
⇒ 1.0791
Hence,
log(12) = 1.0791
