## geerky42 one year ago Repost from Brilliant: Can anyone solve this? "Define $$f_a^b(x)$$ as a function which converts $$x$$ into base $$a$$ and then interprets it as a number in base $$b$$. For example, $$f_2^{10}(0.5)$$ will mean first changing $$0.5$$ to base $$2$$ i.e. $$0.1$$ and then interpreting $$0.1$$ as a base $$10$$ number. That's it! So, find a general formula for $$\displaystyle \int_0^1 f_a^b(x)~\mathrm dx$$"

1. Astrophysics

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2. geerky42

Oops accidentally closed this question: See new question here: http://openstudy.com/study#/updates/55e5e9ace4b03567e110f9d8

3. geerky42

@Astrophysics Maybe you want to leave mark on new question?

4. Astrophysics

Haha thanks!