Question 1145749: Calculate the value of x where the function
y=f(x)=1,822.8×(1.4^x )
This will predict the transistor value f(x)=406,500,000,000.
Final answer (x)
Round off the final answer to the nearest whole value.
What is the exact year?
Show your work below using Equation Editor:
I tried to calculate the value of x function: y = f(x) = 1,822.8 x (1.4x) and I tried to solve for x, and I got 2 = |3x|
|2y| + 3 = 2 + 3
-2 (y+2) = 2 - y
I'm not sure if this is correct, so I wanted to know if I could have a second opinion on this.
Found 3 solutions by ikleyn, josgarithmetic, Theo:
Answer by ikleyn(52803)   (Show Source):
Answer by josgarithmetic(39620)  (Show Source):
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! the function is y = 1822.8 * 1.4^x
when y = 406,500,000,000 = 4.065 * 10^11, the formula becomes 4.065 * 10^11 = 1822.8 * 1.4 ^ x
divide both sides of the equation by 1822.8 to get:
4.065 * 10^11 / 1822.8 = 1.4 ^ x
take the log of both sides of the equation to get:
log(4.065 * 10^11 / 1822.8) = log (1.4^x) = x * log(1.4)
divide both sides of the equation by log(1.4) to get:
log(4.065 * 10^11 / 1822.8) / log(1.4) = x
solve for x to get:
x = 57.13018375
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