The function 𝑓 is given by 𝑓𝑥=log2𝑥. What input value in the domain of 𝑓 yields an output value of 4 ?
Question
The function 𝑓 is given by 𝑓𝑥=log2𝑥. What input value in the domain of 𝑓 yields an output value of 4 ?
Solution
To find the input value that yields an output value of 4 for the function f(x) = log2(x), you need to set the function equal to 4 and solve for x.
So, you have:
log2(x) = 4
The equivalent exponential form of this equation is:
2^4 = x
So, x = 16
Therefore, the input value in the domain of f that yields an output value of 4 is 16.
Similar Questions
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The functions 𝑔 and ℎ are given by 𝑔(𝑥)=log4(2𝑥) ℎ(𝑥)=(𝑒𝑥)5𝑒(1/4).(i) Solve 𝑔(𝑥)=3 for values of 𝑥 in the domain of 𝑔.
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