Question

range of the function f(x)= log2x is​

Answer 1

$log2x$ can be written as $logx+log2$

Range of the function  is R for all real numbers

Domain= [${xER : x > 0}$]

For all positive real numbers.

Answer 2

Given

• f(x)= log2x

To find

• The range of the function

Solution

The given function can be written as

f(x) = log2x

or, f(x) = log2 + logx (log2 is a constant value)

or, f(x) = logx + constant

Therefore, we have to find the range of logx,

The range of logx is

$( \infty,\infty )$

that is, log function has positive values for all positive values of x greater than 1 and negative value for x less than 1.

Adding any constant to infinity results in infinity only thus the range remains constant even after adding log2.