Question 1145749
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