log 150 = log 50 + log 3
∴ log 150 = 2.176
As the base is not mentioned, we will take the base as 10. We will apply the product rule of logarithms to this equation.
log (150) can also be written as log (50×3).
Therefore, log (150) = log 50 + log 3
We know, log 3 = 0.477log 150 = log 50 + 0.477
Now, we can write log 50 as log (100/2). We will use the quotient rule of logarithms.log 50 = log 100 - log 2
We know, log 100 = 2 and log 2 = 0.301∴ log 50 = 2 - 0.301
log 50 = 1.699 Substituting the value of log 50 = 1.699 in the main equation, log 150 = log 50 + log 3log 150 = 1.699 + 0.477log 150 = 2.176
Therefore, the final answer to the question log 150 = 2.176
Learn more about simplifying logarithms here https://brainly.com/question/28400108
#SPJ4
