If log y=x, then log 3 √y=?
回答 (6)
2016-07-18 6:36 am
log(y) = x
log(3√y)
= log(3) + log(√y)
= log(3) + log(y)^(1/2)
= log(3) + (1/2)log(y)
= log(3) + (1/2)x
Then, log(3√y) = (1/2)x + log(3)
log(3√y)
= log(3) + log(√y)
= log(3) + log(y)^(1/2)
= log(3) + (1/2)log(y)
= log(3) + (1/2)x
Then, log(3√y) = (1/2)x + log(3)
2016-07-18 8:22 am
log y = x. log 3rty = log 3 + (1/2)log y = (1/2)x + log 3.
2016-07-18 7:02 am
log 3 sqrt(y) = log 3 + 1/2 log y= log 3 + 1/2 x
2016-07-18 6:38 am
Assuming base 10 log:
log₁₀(y) = x
Now I'm not sure if log 3 √y means log₃(√y) or log(3√y) = log₁₀(3√y)
log₃(√y)
= log₁₀(√y) / log₁₀(3)
= 1/2 log₁₀(y) / log₁₀(3)
= log₁₀(y) / (2 log₁₀(3))
= x / log₁₀(9)
log₁₀(3√y)
= log₁₀(3) + log₁₀(√y)
= log₁₀(3) + 1/2 log₁₀(y)
= log₁₀(3) + 1/2 x
2016-07-18 6:27 am
in log 3 √y
is it log (3 √y) ? or log base 3 of √y ?
is it log (3 √y) ? or log base 3 of √y ?
2016-07-18 6:35 am
Assuming base 10 log:
log₁₀(y) = x
Now I'm not sure if log 3 √y means log₃(√y) or log(3√y) = log₁₀(3√y)
log₃(√y)
= log₁₀(√y) / log₁₀(3)
= 1/2 log₁₀(y) / log₁₀(3)
= log₁₀(y) / (2 log₁₀(3))
= x / log₁₀(9)
log₁₀(3√y)
= log₁₀(3) + log₁₀(√y)
= log₁₀(3) + 1/2 log₁₀(y)
= log₁₀(3) + 1/2 x
log₁₀(y) = x
Now I'm not sure if log 3 √y means log₃(√y) or log(3√y) = log₁₀(3√y)
log₃(√y)
= log₁₀(√y) / log₁₀(3)
= 1/2 log₁₀(y) / log₁₀(3)
= log₁₀(y) / (2 log₁₀(3))
= x / log₁₀(9)
log₁₀(3√y)
= log₁₀(3) + log₁₀(√y)
= log₁₀(3) + 1/2 log₁₀(y)
= log₁₀(3) + 1/2 x
收錄日期: 2021-04-20 16:38:34
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