k Check

Question

2 of 52 of 5 Items
Question
The value of x in log2^x=1
is which of the following?(1 point)
Responses

2
2

1
1

−2
negative 2

0

Answer 1

To solve the equation \( \log_2^x = 1 \), we can rewrite it using the properties of logarithms.

The equation states that \( x \) is the exponent to which the base \( 2 \) must be raised to produce \( 1 \).

Formally, this means: \[ 2^1 = 2 \] However, we need to find \( x \) such that: \[ 2^x = 1 \]

The only exponent that will give us \( 1 \) when \( 2 \) is raised to it is \( 0 \), since: \[ 2^0 = 1 \]

Therefore, the value of \( x \) is \( 0 \).

So the correct response is: 0