Question

For any positive numbers a, b, and d, with b≠1, logb(a·d) = _____.

Answer 1

Answer:

logb a* logb d

        or

logb a - logb d

             or

logb(a*d)

Answer 2

Answer:

The value of $log_b(a\cdot d)$ is $log_b(a)+log_b(d)$.

Step-by-step explanation:

Let a, b, and d are positive numbers.

Then we need to find the value of $log_b(a\cdot d)$.

According to the multiplication property of logarithm.$log_m(xy)=log_mx+log_my$

The given expression is

$log_b(a\cdot d)$

Using the multiplication property of logarithm, we get

$log_b(a\cdot d)=log_b(a)+log_b(d)$

Therefore the value of $log_b(a\cdot d)$ is $log_b(a)+log_b(d)$.