Answer: (2*p + 3)/q
Step-by-step explanation:
First, let's remember the relationships:
Logₙ(a) = Ln(a)/Ln(n)
Ln(A*B) = Ln(A) + Ln(B)
Ln(a^n) = n*Ln(a)
Now, we know that:
Logₓ(2) = p
Logₓ(7) = q
We want to express:
Log₇(4*x^3) in terms of p and q.
First, we can rewrite the first two relations as:
Ln(2)/Ln(x) = p
Ln(7)/ln(x) = q
then we have:
Ln(2) = p*Ln(x)
Ln(7) = q*Ln(x)
Ok:
Now let's play with our equation:
Log₇(4*x^3)
First, this is equal to:
Ln(4*x^3)/Ln(7)
We now can rewrite this as:
(Ln(4) + Ln(x^3))/Ln(7)
= (Ln(2^2) + Ln(x^3))/Ln(7)
= (2*Ln(2) + 3*Ln(x))/Ln(7)
Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)
(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q
This is the expression we wanted.
Answer:
i think so!
Step-by-step explanation:
The number that Samya can be thinking of is 571.
<h3>How to get the number?</h3>
The information stated that Samya was thinking of a number that's is between 560 and 590. It was further stated that the number isn't a multiple of four and that the addition of it's digit will give a prime number.
This will be:
5 + 7 + 1
= 13
In this case, 13 is a prime number. Also, 571 is not a perfect square.
Therefore, the number is 571.
Learn more about multiples on:
brainly.com/question/26856218
#SPJ1
Answer:
a) 7 numbers in term of n = n+1, n+2, n+3, n+4, n+5, n+6 and n+7
b) n+1+n+2+n+3+n+4+n+5+n+6+ n+7
= 7n+28
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
That would be (2,3)
Step-by-step explanation:
When we're moving left in the coordinate plane, we are subtracting the x-coordinate by how much distance we move.
In this case, 7-5=2, so the new x-coordinate is 2, but the y-coordinate doesn't change since we're going horizontally and not vertically.
