The inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

Here's the step by step process:

1. Start with the function 𝑦=log2(𝑥).
2. To find the inverse, we switch the roles of 𝑦 and 𝑥 to get 𝑥=log2(𝑦).
3. Now, we need to express 𝑦 in terms of 𝑥. Since the base of the logarithm is 2, we can rewrite the equation in exponential form to get 𝑦=2^𝑥.
4. So, the inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

Question

The inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

Here's the step by step process:

1. Start with the function 𝑦=log2(𝑥).
2. To find the inverse, we switch the roles of 𝑦 and 𝑥 to get 𝑥=log2(𝑦).
3. Now, we need to express 𝑦 in terms of 𝑥. Since the base of the logarithm is 2, we can rewrite the equation in exponential form to get 𝑦=2^𝑥.
4. So, the inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

Knowee AI · Accepted Answer

The inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

Here's the step by step process:

1. Start with the function 𝑦=log2(𝑥).
2. To find the inverse, we switch the roles of 𝑦 and 𝑥 to get 𝑥=log2(𝑦).
3. Now, we need to express 𝑦 in terms of 𝑥. Since the base of the logarithm is 2, we can rewrite the equation in exponential form to get 𝑦=2^𝑥.
4. So, the inverse function of 𝑦=log2(𝑥) is 𝑦=2^𝑥.

What is the inverse function of 𝑦=log2(𝑥)

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