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Can the log of 5 equal negative 1? - Answers

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 ÷ logabyou 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 = 1/5Alternatively you can see it straight away:b-1 = 1/b = 5⇒ b = 1/5 = 0.2ie log0.25 = -1



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Can the log of 5 equal negative 1? - Answers

https://math.answers.com/math-and-arithmetic/Can_the_log_of_5_equal_negative_1

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 ÷ logabyou 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 = 1/5Alternatively you can see it straight away:b-1 = 1/b = 5⇒ b = 1/5 = 0.2ie log0.25 = -1



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https://math.answers.com/math-and-arithmetic/Can_the_log_of_5_equal_negative_1

Can the log of 5 equal negative 1? - Answers

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 ÷ logabyou 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 = 1/5Alternatively you can see it straight away:b-1 = 1/b = 5⇒ b = 1/5 = 0.2ie log0.25 = -1

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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 ÷ logabyou 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 = 1/5Alternatively you can see it straight away:b-1 = 1/b = 5⇒ b = 1/5 = 0.2ie log0.25 = -1

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