# Questions tagged [inverse]

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### Why are there two inverses to exponentiation?

I'm not sure if this is more educational or more "pure math", but: For multiplication and addition, there is exactly one inverse operation, namely division and subtraction. For ...
• 2,699
3k views

### Logarithm Tables - How were the values reached?

I'm teaching an Algebra II/Trigonometry class that is currently working on logarithms as the inverse function of exponential functions. Now, to keep their interest I had them struggle for a few ...
• 263
1k views

### Method of Solving $5^x=326$ (Logs not allowed)

$5^x=326$ A book titled "algebra and trigonometry" by Paul Foerster, offers this problem. It came before the logarithm chapter and specifically said not to solve with any log manipulation. It ended ...
1k views

### What are some common ways students get confused about finding an inverse of a function?

What are some common ways students get confused about finding an inverse of a function? One I can think of is conflating multiplicative inverses of rational numbers with functional inverses. e.g. ...
293 views

### Why many people believe that: $\displaystyle c>0\implies \frac{1}{c}<0$?

I came across many people who believe the below false implication. I don't know why people believe it true in high school and middle school and also students in university level. Really I would like ...
390 views

### Why bother calculating the inverse of 3 by 3 matrix?

My government has told me that I must teach 17 year olds how to invert a 3 by 3 matrix using adjoints/cofactors, without using any technology. Is there any reason why you would want to know how to do ...
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