Question

Which expressions are equivalent to the one below? Check all that apply. Log^7 1 * Log^5 25

Answer 1

B if you mean log_7 (1)*log_ 5 (25)

Explanation:

I think you mean 7 and 5 as bases... like

log_7(1)*log_5(25)

log_7(1)=0 because 7^0=1

log_5(25)=2 because 5^2=25

So you have to perform the following operation 0*2=0

so 0 is definitely one answer

1 and 5*7 are definitely not equal to 0

let's look at last choice now

log_7(7)=1 because 7^1=7

so D is equivalent to saying 2*1 which is 2 not 0

so only one choice works and it is B