What is the inverse of the function f(x) log4 x?

2016-06-16 5:29 pm

回答 (3)

2016-06-16 5:36 pm
y = f(x)

y = log₄(x)

x = 4^y

Hence, f⁻¹(x) = 4^x
2016-06-16 7:09 pm
Let f(x) = y
Hence
y = log(4)x
Antilog
4^y = x
'Swop' the letters
y = 4^x
f^-1(x) = 4^x (The inverse).
2016-06-16 5:35 pm
Well,

y = log4 x
4^y = 4^(log4 x)
4^y = x
therefore the inverse function is

f^-1 (x) = 4^x

hope it' ll help !!


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