MATH SOLVE

3 months ago

Q:
# Use the approximate logarithm values below to estimate the value of each of the following logarithms. Indicate which properties you used.log(12)

Accepted Solution

A:

Answer:log(12) = 1.0791Step-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 that1) 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 + 0.4771or⇒ 1.0791Hence,log(12) = 1.0791