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:
3
Step-by-step explanation:
three
Question says to find the square root of 3.24.
To find square root of decimal numbers, we can start by converting them into fraction so that decimal gets removed then find square root of numerator and denominator separately.
there are two digits after decimal in 3.24 so we can rewrite 3.24 as 324/100
Now let's find square root of the resulting fraction
Hence final answer is 1.8.
Answer:
$3.13
Step-by-step explanation:
3 x 1.044 = 3.132
Answer:
h(-2) = -1
Step-by-step explanation:
h(x)=-2x-5
Let x= -2
h(-2)=-2*-2-5
= 4 -5
h(-2) = -1
