Math CentralQuandaries & Queries


Question from Dan:

50 x 2^n = 1,000,000
2^n = 20,000

what does n equal?

Hi Dan,

If you have a problem of the form

\[a^n = b\]

and you are to solve for $n,$ the standard technique is to take the log of both sides to get

\[log\left(a^n\right) = log(b) \mbox{ or }n \times log(a) = log(b).\]

Now solve for $n.$


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