Answer:
b) Not enough information
Step-by-step explanation:
Given the logs of two values, you want to know the log of their sum.
Rules of logarithms
The logarithm function cannot be applied to a sum. The purpose of the logarithm function is to turn the log of a product into a sum of logs. The logarithm function cannot be applied to a sum.
The only way to determine the log of the sum is to take the antilogs of the given values, add them, then take the log of the result.
Log(a+b)
Assuming the base of the logarithms is 10, using the strategy just described, we can compute ...
log(a +b) = log(10^log(a) +10^log(b)) = log(10^1.2 +10^5.6)
≈ log(15.848932 +398,107.17) ≈ log(398,123.02)
≈ 5.6000173 . . . . using base 10 logs
If these are natural logs, which are also often written as log(x), as well as ln(x), then the log of the sum is about
log(e^1.2 +e^5.6) ≈ 5.6122026 . . . . using base e logs
The short answer is, there is not enough information. (The base of the logarithms must be known.)
