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faust18 [17]
3 years ago
8

Which is 2logx-6log(x-9) written as a single logarithm

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer: option c.

Step-by-step explanation:

 To solve the given exercise and write the expression as a single logarithm, you must keep on mind the following properties:

m*log(a)=log(a)^m

log(a)-log(b)=log(\frac{a}{b})

Therefore, by applying the properties shown above, you can rewrite the expression given, as following:

2logx-6log(x-9)=logx^2-log(x-9)^6=log(\frac{x^2}{(x-9)^6})

Then as you can see, the answer is the option c.

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