Can someone help me with this equation:
y = (2*10^(-44))*(e^(0.055x))?
If it helps, y = 50000.
The y = 50000 sure helps, without it it couldn't be done
so you want
(2*10^(-44))*(e^(0.055x)) = 50000
divide by that extremely small number
e^(0.055x) = 2.5*10^48
take ln of both sides and use log rules
.055x = ln (2.5*10^48)
.055x = 111.44
x = appr 2026.2
If your expressiom mean:
y = 2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 50000
then:
2 * 10 ^ ( - 44 ) * e ^ ( 0.055 x ) = 5 * 10 ^ 4 Divide both sides by 2 * 10 ^ ( - 44 )
e ^ ( 0.055 x ) = 5 * 10 ^ 4 / 2 * 10 ^ ( - 44 )
e ^ ( 0.055 x ) = ( 5 / 2 ) * 10 ^ 4 / 10 ^ ( - 44 )
e ^ ( 0.055 x ) = 2.5 * 10 ^ 4 * 10 ^ ( 44 )
e ^ ( 0.055 x ) = 2.5 * 10 ^ 48 Take the natural logarithm of both sides
0.055 x = 111.4403752 Divide both sides by 0.055
x = 111.4403752 / 0.055
x = 2026.18864
Of course! I can help you with your equation.
The equation you provided is in the form of exponential decay. It represents a relationship between the dependent variable "y" and the independent variable "x".
To find the value of "y" for a specific value of "x" in this equation, you need to substitute the desired value of "x" into the equation and perform the necessary calculations.
Let's say you want to find the value of "y" when "x" is equal to 5. You can simply substitute 5 in place of "x" in the equation:
y = (2 * 10^(-44)) * (e^(0.055 * 5))
Now, let's break down the steps to calculate the value of "y":
Step 1: Calculate the exponent part first.
0.055 * 5 = 0.275
Step 2: Calculate the exponential part.
e^(0.275)
Here, "e" represents the mathematical constant approximately equal to 2.71828. So, you can use a scientific calculator or any software that supports exponential calculations to find the value of "e^(0.275)".
Step 3: Multiply the exponential part by the coefficient.
(2 * 10^(-44)) * (e^(0.275))
After performing these calculations, you'll find the value of "y" when "x" is equal to 5.