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
Multiply the $75 by 1.125 which represents the total amount of interest AND the orgininal amount
75*1.125=$84.37
The answer is 155 because 124/4 is 31 so the average rate of change is 31 so multiply by 5 and it gives you 155
The change in temperature for 1 hour would be -5. hope this helps.
