(12^-x)=2.092....x=? 16^(log x / log 2)=1.43...x=?

Caporegime
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13 May 2003
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Hello

I'm trying to solve x for the above two equations. Can someone please give me a general rule as to how to do that? Totally forgotten my Pure Maths from A-Level! I'm semi-sure with the power of -x, there's a log involved, but I just can't remember the construction.

Thanks!
 
Surely the first would go to...

-xlog12 = log2.092
-x = (log2.092)/(log12)
x = -(log2.092)/(log12)

Basically the rule is.

If you have x^y = z

You can say.

ylogx = logz

And I think you can use the rule to solve the second question.
 
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