Question

Logarithmic question please help!!

Answer 1

Answer:

B.

Step-by-step explanation:

They have the same base so use the quotient rule (since they have a minus sign in between).

We are using this rule: $log_a(b)-log_a(c)=log_a(\frac{b}{c})$

So we have  $log_3(15)-log_3(10)=log_3(\frac{15}{10})$

We can reduce the inside fraction... 15/10=3/2

So the answer is B.

Answer 2

$\log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log_315-\log_310=\log_3\dfrac{15}{10}=\boxed{\log_3\dfrac{3}{2}}$