Question

Which expressions are equivalent to the log8 1 * log3 27. check all that apply.

Answer 1

Answer:

It's d. 0.

Step-by-step explanation:

The log (to any base) of 1 = 0, so log8 1 = 0, and the whole expression is equal to 0:

 0 * log3 27 = 0.

Answer 2

Assuming that you mean

$\log_8(1)\cdot\log_3(27)$

We have that the logarithm of every base evaluated at one is zero:

$\log_a(1)=0 \quad \forall a>1$

So, your expression translates to

$\log_8(1)\cdot\log_3(27) = 0\cdot\log_3(27) = 0$