Question

When 2 log a - log₃b + log c is expressed as a single logarithm, it would be: A) log(a²c/3b) B) 2 log(ac/3b) C) log(a²c/3b) D) log(ac/b³)

Answer 1

To express the expression 2 log a - log₃b + log c as a single logarithm, we need to apply the logarithmic properties.

Step-by-step explanation:

To express the expression 2 log a - log₃b + log c as a single logarithm,

we need to apply the logarithmic properties.

First, we use the property that the logarithm of a number resulting from the division of two numbers is the difference between the logarithms of the two numbers.

So, we rewrite the expression as log(a²c) - log₃b.

Next, we use the property that the logarithm of a product of two numbers is the sum of the logarithms of the two numbers.

Therefore, the expression can be simplified further to log((a²c)/b). This is the single logarithm form of the given expression.

Learn more about Logarithmic Properties