Question #190026

Write out the log equation for this graph: y= logbase(x)

(0.25, -1)

(1,0)

(4,1)

(16,2)


1
Expert's answer
2021-05-13T13:37:21-0400

First we have to calculate the value of base from the given points,

y=logbxby=x\Rightarrow y= log_{b}x\\\Rightarrow b^y=x




So from given point (0.25,-1)

b1=0.25b=4\Rightarrow b^{-1}=0.25\\\Rightarrow b=4


So, above equation becomes y=log4x\boxed{y=log_4x}

and Equation of above graph is:

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