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Question Number 152349 by otchereabdullai@gmail.com last updated on 27/Aug/21

$$\mathrm{If}\mathrm{f}\left(\mathrm{x}\right)={\log }_{8\mathrm{x}},\mathrm{find}$$$$\left(\mathrm{i}\right){\mathrm{f}}^{-1}\left(\mathrm{x}\right)$$$$\left(\mathrm{ii}\right){\mathrm{f}}^{-1}\left(2\right)$$

Commented by otchereabdullai@gmail.com last updated on 27/Aug/21

$$\mathrm{Exactly}\mathrm{prof}\mathrm{W}\mathrm{typo}\mathrm{error}.\mathrm{Am}\mathrm{much}$$$$\mathrm{grateful}\mathrm{God}\mathrm{bless}\mathrm{you}!$$

Commented by mr W last updated on 27/Aug/21

$$ithinkyoumeantf\left(x\right)={\log }_{8}x.$$$$y={\log }_{8}x$$$$\Rightarrow x=8^y$$$$\Rightarrow f^{-1}\left(x\right)=8^x$$$$\Rightarrow f^{-1}\left(2\right)=8^2=64$$

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