Which expression are equivalent to the one below? Check all that apply. Log5 5+log5 125
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Answer:
B. 4
C. Log₅ 625
Step-by-step explanation:
When given the sum of two logarithms to the same base, let us say
LogₐB +LogₐC, Then, the sum is equivalent to Logₐ(B×C)
=Logₐ BC
The sum given in the question is Log₅5 + Log₅125
This is equivalent to Log₅(5×125)=Log₅625
Log₅625=4 (Since 625=5⁴, the log of 625 to base 5 is 4)