Ask Uncle Colin: How do I find the power? | Colin

Ask Uncle Colin is a chance to ask your burning, possibly embarrassing, maths questions — and to show off your skills at coming up with clever acronyms. Send your questions to colin@flyingcoloursmaths.co.uk and Uncle Colin will do what he can.

Dear Uncle Colin,

The equation $67.5 = 10(1.0915)^{10-n} + 30(1.0915)^{10-2n}$ cropped up in a question. Excel can solve that numerically, but I can’t solve it on paper! Any ideas?

Problems Occur When Exponentials Recur

Hi, POWER, and thanks for your message!

That’s an ugly one. First thing: beware of the booby-trap; you might be tempted…

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