Logarithmic Functions: The Formula For F(X) With Base 2.

f(x) = log₂x+2

Translate base-2 log up 2

The function f(x) is an expression in logarithmic form. It takes an input value x and outputs a corresponding value based on the logarithmic formula. Here’s a breakdown of the expression:

1. The function is defined as f(x) = log₂x + 2.
2. The logarithmic function uses a base of 2.
3. The input value x is a positive number that’s the argument of the logarithmic expression.
4. The logarithmic expression is log₂x, which represents the exponent to which 2 should be raised to get x.
5. The output value of the function is the sum of the logarithmic expression and 2.

Some things to note about this function include:

1. The domain of the function is all positive real numbers since the logarithmic expression is undefined for negative inputs and zero.
2. The function is increasing since as x increases, so does the value of the logarithmic expression and therefore the output value.
3. The function’s range is all real numbers since increasing values of the logarithmic expression can generate a wide range of output values.

To evaluate the function for a given input value x, simply plug in x for the variable and solve for f(x). For example, to find f(8), we do:

f(8) = log₂8 + 2
= 3 + 2
= 5

Therefore, f(8) = 5.

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