(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have been told: Two variables x and n are connected by the formula

x=a( n^b). When n = 2, x = 37; when n = 3, x = 66. I have been told to find a and b.

2. Relevant equations

x=a(n^b) (I've put the brackets there because I don't know how to differenciate between times and "x" --below the x inbetween is a times not an x)

3. The attempt at a solution

37=a x 2^b 66= a x 3^b or 66/3^b =a

37 = (66/3^b) x 2^b

37= (66 x 2^b)/3^b

log37=(log66 x blog2)/blog3

Ok so I've gotten to this point - but I don't know how to get b on its own! Can anyone give me a hand here?

Thanks,

Cat

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# Homework Help: Issues with an exponential problem

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