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.
Is this multiple choice ? If so please list the answers
Answer:
3x
(x-5)
2x - 3= 3x,x-5,2x-3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It is linear because it is a pattern of adding 1 and not quadratic for there is no squaring. It is no exponential because the ratio stays the same.
Answer:
They are not similar
Step-by-step explanation:
To determine whether the prism are similar we need to calculate their volumes
Volume of a prism = Base Area * Height
Volume of the first prism = 18ft *8 * 8ft
Volume of the first prism = 1152ft^2
Volume of the second prism = 30t * 15 * 15ft
Volume of the second prism = 6,750ft^2
Since the volumes are different, the prism are not similar.
