Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
Answer:
1) At least 6.
2) $2194.8
3) $2326.49
4) 38 mph on average.
Step-by-step explanation:
Comment if you do need the steps
Answer:
y=45x+25
y = total cost and x = number of months.
Answer:

Step-by-step explanation:
We are given that a number 18234
We have to find the prime factorization of the number
Prime factorization : The number written is in the product of prime numbers is called prime factorization.
In order to find the prime factorization we will find the factors of given number

Hence, the prime factorization of 
Answer:
We can use the sample about 42 days.
Step-by-step explanation:
Decay Equation:



Integrating both sides


When t=0, N=
= initial amount




.......(1)
.........(2)
Logarithm:
130 days is the half-life of the given radioactive element.
For half life,
,
days.
we plug all values in equation (1)






We need to find the time when the sample remains 80% of its original.







We can use the sample about 42 days.