How do I rearrange this logarithm? 4.19=-log x?

2009-03-13 4:29 pm
I just need to know how to solve for x; it should be easy but I'm getting the wrong answer

What do I do with the negative sign? Thank you!
更新1:

Hm... that's what I should, so I gues the experimental data I found must be wrong Thanks!

回答 (7)

2009-03-13 4:39 pm
✔ 最佳答案
You need to know the relationship between exponentials and logarithms:
b^n = x
is equivalent to:
n = log base b (x)
So although you didn't specify the base we generally assume log means log base 10. (In some applications log can mean log base e or ln.)

4.19=-log x
-4.19=log x
10 ^( -4.19) = x
so:
x = .000064565

OIf that does not check with you answer. I would consider that possible log x was ln x
and x = e^(-4.19)

x = .01515
2009-03-13 5:06 pm
log x = - 4.19
x = 10^(- 4.19) taking logs to base ten.
2009-03-13 4:48 pm
4.19 = -log(x)
-4.19 = log(x)
-4.19 = log_10(x) (base 10)
x = 10^(-4.19)
2009-03-13 4:39 pm
raise e, the base of nat log to each side; then you have an exponent in the denominator; and so x = (1/(e^4.`9))
2009-03-13 4:36 pm
10^(-4.19) = 6.46 x 10^- 5
2009-03-13 4:33 pm
4.19 = -logx
-4.19 = logx
10^(-4.19) = x
2009-03-13 4:36 pm
BY GETTING A LOBOTOMY


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