Question

Logarithmic question please help!!

Answer 1

B.

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((b)/(c))`

So we have
`log_3(15)-log_3(10)=log_3((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(b)/(c)\\\\\log_315-\log_310=\log_3(15)/(10)=\boxed{\log_3(3)/(2)}`