I do not remember this from school anymore and I now I have to use the logarithm but the problem is that I do not know the base. I want to know the value of r but I only have the value of r^2.

2² = 2*2 and the inverse is log2(4) but in my case how do not have the value of the base. Thank you.


You really don't need the logarithm but a square root: $\sqrt{1000}$. However, presume for some reason you have to use logarithms somewhere(?!)

For positive $x$ it is true that $\sqrt{x}=x^{1/2}=a^{\frac12\log_ax}$ for any base $a\gt 0$ you choose. So, pick the base that is the easiest to work with. In this case, $1000=10^3$, i.e. $\log_{10}1000=3$ and so $a=10$ is a nice base to work with. Now it follows that $\sqrt{1000}=10^{3/2}$.

| cite | improve this answer | |
  • $\begingroup$ thank you. I was completly miles away. $\endgroup$ – Kaspacainoombro Aug 23 at 12:32

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.