Question

For any positive numbers a, b, and d, with b 1,A.logb a logb dB.logb a + logb dC.d logb aD.logb a - logb d

Answer 1

Step-by-step explanation:

The expression that we have is:

`log_b((a)/(d))`

And we need to find the equivalent expression.

The given expression represents a property of logarithms in which a division can be converted into a subtraction as shown in the following equation:

`log_b((a)/(d))=log_b(a)-log_b(d)`

The base of the logarithm stays the same (b), and the logarithm of d is subtracted from the logarithm of a. This expression is shown in option D.

Answer:

`D.\text{ }log_ba-log_bd`