63.4k views
2 votes
Which expressions are equivalent to the one below? Check all that apply. log7 1• log5 25

A. 5•7

B. 2•log7 7

C. 1

D. 0

User Amit Gold
by
7.0k points

2 Answers

3 votes

Answer:

D. 0

Explanation:

hope this helps :)

User Brent Stewart
by
7.4k points
1 vote

Answer:

D

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.

User Sudheej
by
7.6k points
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