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Bad White [126]
3 years ago
9

What is the inverse of the logarithmic function f(x) = log2x?

Mathematics
2 answers:
kumpel [21]3 years ago
8 0
Is it supposed to say log[base2]x? if thats the case then f^-1(x)=2^x (aka 2 with an exponent of x)
frez [133]3 years ago
8 0

Answer:

Inverse function, f^{-1}=2^x

Step-by-step explanation:

We are given a function f(x)=\log_2x

We need to find the inverse of f(x)

Step 1: Set f(x)=y

y=\log_2x

Step 2: Switch x and y

x=\log_2y

Step 3: Solve for y (isolate y)

y=2^x              \because \log_ab=x\Rightarrow b=a^x

Inverse of function f(x)\rightarrow f^{-1}(x)=2^x


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