Question

√logbase2 x ,find domain

Answer 1

Find the Domain and Range y=log base 2 of x

y=log2(x)y=log2(x)

Set up the equation to solve for xx.

x>0x>0

The domain is all values of x that make the expression defined.

(0,∞)(0,∞)

{x|x>0}{x|x>0}

The range is the set of all valid yyvalues. Use the graph to find the range.

(−∞,∞)(-∞,∞)

{y|y∈R}{y|y∈ℝ}

Determine the domain and range.

Domain: (0,∞),{x|x>0}(0,∞),{x|x>0}

Range: (−∞,∞),{y|y∈R}