What is the square root of 5
1 answer:
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The expression into a single logarithm is
Step-by-step explanation:
Let us revise some logarithmic rules
∵ 10 log(x) + 5 log(64)
- At first re-write 10 log(x)
∴ 10 log(x) =
- Then re-write 5 log(64)
∴ 5 log(64) =
∴ 10 log(x) + 5 log(64) = +
- Use the 3rd rule above to make it single logarithm
∵ +
=
∴ 10 log(x) + 5 log(64) =
∵ 64 = 2 × 2 × 2 × 2 × 2 × 2
∴ We can write 64 as
∴
- Multiply the two powers of 2
∴
∴ 10 log(x) + 5 log(64) =
The expression into a single logarithm is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set =
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and respectively.