What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?
2 answers:
Answer:
(log Subscript 5 Baseline 56)
Step-by-step explanation:
On this question, we have to remember basically of one property: the sum of the same base logarithms.
The sum of the same base Logarithms is equal to the product of it. We'll use in this question twice, to decompose the log of (4*7) and then to solve the sum of it all.
By the way,
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Given:
The given function is:
To find:
The value of x that is in the domain.
Solution:
Domain is the set of input values.
We have,
We know that the square root is defined for non negative values. So,
Thus, the domain of the given function is all real number that are greater than or equal to 7.
In the given options 0, -3, 6 are less than 7 but 8 in option A is the only value that is greater than 7. So, is in the domain of the given function.
Therefore, the correct option is A.