Question

Which expressions are equivalent to the one below? Check all that apply. log7 1• log5 25

Answer 1

Answer:

D

Step-by-step explanation:

Use logarithms properties:

$\log_a1=0\\ \\\log_aa=1\\ \\\log_ab^k=k\log_ab$

Now,

$\log_71=0\\ \\\log_525=\log_55^2=2\log_55=2\cdot 1=2$

and

$\log_71\cdot \log_525=0\cdot 2=0$

Hence, correct option is option D.