SOLUTION: Find the function of the form y=log a (x) whos graph is given (4,1/2)

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Question 1170845: Find the function of the form y=log a (x) whos graph is given (4,1/2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


y=log%28a%2Cx%29

given (4,1%2F2)
use given point
1%2F2=log%28a%2C4%29....convert to base 10

1%2F2=log%284%29%2Flog%28a%29
%281%2F2%29log%28a%29=log%284%29
log%28a%5E%281%2F2%29%29=log%284%29
log%28sqrt%28a%29%29=log%284%29....if log same then
sqrt%28a%29=4
%28sqrt%28a%29%29%5E2=4%5E2
a=16
your function is:
y=log%2816%2Cx%29+