Write out the log equation for this graph: y= logbase(x)
(0.25, -1)
(1,0)
(4,1)
(16,2)
First we have to calculate the value of base from the given points,
⇒y=logbx⇒by=x\Rightarrow y= log_{b}x\\\Rightarrow b^y=x⇒y=logbx⇒by=x
So from given point (0.25,-1)
⇒b−1=0.25⇒b=4\Rightarrow b^{-1}=0.25\\\Rightarrow b=4⇒b−1=0.25⇒b=4
So, above equation becomes y=log4x\boxed{y=log_4x}y=log4x
and Equation of above graph is:
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