If f(x) = 10ˣ , then f⁻¹(x) = ?

A

B lnx

C logx

D 10eˣ

Solution

Correct Answer: Option C

দেওয়া আছে , f(x)= 10ˣ
ধরি ,y=f(x)
⇒ y=10ˣ
⇒ logy=log10ˣ
⇒ logy=xlog10
⇒ xlog10=logy
⇒ x.1=logy [যেহেতু, log10=1]
⇒ x=logy
f⁻¹(y)=logy
f⁻¹(x)=logx


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