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Dafna11 [192]
3 years ago
12

Which expression is equivalent to log c x2-1/5x

Mathematics
2 answers:
Aleks04 [339]3 years ago
6 0
Answer
C is the correct answer

㏒(x²-1) - (㏒5 + ㏒x)


Explanation
The law of logarithm says; 
㏒AB = ㏒₃A + ㏒₃B
㏒C/B = ㏒₃C - ㏒₃B
So, the given equation will be,

㏒((x²-1)/5x) = ㏒(x²-1) - ㏒5x
                      = ㏒(x²-1) - (㏒5 + ㏒x)

              
navik [9.2K]3 years ago
6 0
 Hello! For this problem we need to make use of two existing logarithmic properties. These are:

1. log \frac{M}{N} is equal to log M-logN
2. log(MN) is equal to log M+logN

Following the first property, we can simplify the expression to log (x^{2}-1)-log(5x).

Then, we will use the second property to the term 5x. The final form of the expression would then be log(x^{2}-1)-(log5+logx).

ANSWER: log(x^{2}-1)-(log5+logx)  (third option)
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The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
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