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Having given no base to your log and not specified natural or common, I assume you are asking if there is a base in which logyb5 = -1, ie is there is a number b such that b-1 = 5?
Yes.
If you want to know what that base is, then you can work it out:
Using:
logbx = logax ÷ logab
you can work out the value for b using, say natural logs (base e written loge or usually abbreviated to ln) since we know x=5 and logb5 = -1:
-1 = ln 5 ÷ ln b
⇒ ln b = -ln 5
⇒ b = e-ln 5
⇒ b = 1÷ eln 5
⇒ b = 1/5
Alternatively you can see it straight away:
b-1 = 1/b = 5
⇒ b = 1/5 = 0.2
ie log0.25 = -1
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Does a positive plus a negative equal a negative?
Not necessarily. 5 + (-6) = -1, a negative 5 + (-5) = 0 or 5 + (-4) = 1, a positive.
What does 5 to the negative one power equal?
5-1 = 1/5 or 0.2
What does positive 4 plus negative 5 equal?
4 + (-5) = -1
What does negative 1 plus positive 5 equal?
Positive 4
What does two times negative two minus a negative five equal?
2 * (-2) - (-5) = 1
Which is the log of 1 times 10-5?
Negative 5
Does a positive plus a negative equal a negative?
Not necessarily. 5 + (-6) = -1, a negative 5 + (-5) = 0 or 5 + (-4) = 1, a positive.
What does 5 to the negative one power equal?
5-1 = 1/5 or 0.2
What numbers equal negative 5?
negative 5 is equal to negative 5
What does 2 minus 3 equal?
-1 (Negative 1).
What is 5 to the negative 2 equal?
5-2 = 1/25. Expressed as a decimal, this is equal to 0.04.
What does negative 1 minus 5 equal?
the problem changes to -1+(-5) so the answer is -6
What does positive 4 plus negative 5 equal?
4 + (-5) = -1
What is 6 plus negative 1?
6 + - 1 = 5 Here is a little table to help with manipulating double signs. = + = - = - = + NB If no sign is given then read it as (+). So for the above sum we could write + 6 + - 5 = +5
Is log 5 equivalent to log 5-log 20?
No. log 20 is a positive number , so it you subtract it from log 5 you get less than log 5. However, log10 5 = 1 - log102 = 2- log1020 . or log 5 - log 20 = log 5 - log 4*5 = log 5 - (log 5 + log 4) = log 5 - log 5 - log 4 = - log 4 But we do not need to do all of these computations, because log 5 is different from log 5 - log 20 by the law of the equality that says two equals remain equal if and only if we subtract (in our case) the same thing from them.
What decimal is equal to negative nine fifths?
You'll find that -1.8 is equal to negative nine fifths. Let's step through it. -9/5 = -(5/5 + 4/5) = -1 4/5 = -1 8/10 = -1.8
What is 5 to the power of negative six?
it is equal to 1/5^6 which equals 0.000064
