How do you solve for x in $25 = 3 ^ (x/100)$ ?

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Answer 1 · 2016-06-26T06:00:53

$x=293.02$

$25=3^(x/100)$

i.e. $log25=log(3^(x/100))=x/100log3$

Hence $x/100=log25/log3$ and

$x=100xx2log5/log3=200xx0.6990/0.4771$

or $x=293.02$

How do you solve for x in 25 = 3 ^ (x/100)25 = 3 ^ (x/100)?