Find the value of x when the number of views first exceeds 2 000 000 according to the exponential method.?
回答 (2)
y > 2 000 000
40 × 10^x > 2 000 000
1.4^x > 50 000
log(1.4^x) > log(50 000)
x log(1.4) > log(50 000)
x > log(50 000) / log(1.4)
x > 32.16
When the number of views first exceeds 2 000 000, x = 32.16
40 * 1.4^x = 2000000
1.4^x = 2 * 10^6 / (4 * 10)
1.4^x = 2 * 10 * 10 * 10^4 / (4 * 10)
1.4^x = 5 * 10^4
x * log(1.4) = log(5 * 10^4)
x * log(1.4) = log(5) + 4
x = (4 + log(5)) / log(1.4)
x = 32.156526176
收錄日期: 2021-04-30 14:32:01
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