ok did i do this right?

evaluate the expression
log(base4)(16)(4)

log(4) 16 + log(4) 4

? can you do that?

log4(16) = log4 (4^2) = 2 log4(4) = 2

2 + 1 = 3

Thanks Damon!!!

Yes! To evaluate the expression log(base4)(16)(4), you can use the logarithmic property log(a) + log(b) = log(a * b).

First, let's evaluate log(base4) 16. This asks "what power do you need to raise 4 to in order to get 16?" The answer is 2 because 4^2 = 16. So, log(base4) 16 = 2.

Next, let's evaluate log(base4) 4. This asks "what power do you need to raise 4 to in order to get 4?" The answer is 1 because 4^1 = 4. So, log(base4) 4 = 1.

Now, we can substitute these values back into the original expression:

log(base4)(16)(4) = log(4) 16 + log(4) 4 = 2 + 1 = 3.

Therefore, the expression evaluates to 3.