What is ((1-log_{4}(x)))/((1+log_{2)(x))}<= 1/2 ?

The solution to ((1-log_{4}(x)))/((1+log_{2)(x))}<= 1/2 is True for all x

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((1-log_{4}(x)))/((1+log_{2)(x))}<= 1/2

\frac{( 1 - lo g _{4} ( x ) )}{( 1 + lo g _{2} ( x ) )} \leq \frac{1}{2}

True for all x

Interval Notation

(- \infty, \infty)

Solution steps

\frac{( 1 - lo g _{4} ( x ) )}{( 1 + lo g _{2} ( x ) )} \leq \frac{1}{2}

Simplify

\frac{1 - lo g _{4} ( x )}{1 + lo g _{2} ( x )} : \frac{1 - \frac{1}{2}}{1}

\frac{1 - \frac{1}{2}}{1} \leq \frac{1}{2}

Refine

\frac{1 - \frac{1}{2}}{1} : \frac{1}{2}

\frac{1}{2} \leq \frac{1}{2}

Therefore, the solution is

True for all x

\frac{( 3 x + 1 )}{7} - \frac{( 2 - 4 x )}{3} \geq \frac{( - 5 x - 4 )}{14} + \frac{( 7 x )}{6}

x - 4 < 4

\frac{x}{2 + 1} > x

x, 2 (y + 4) < - x

- 4 a + 3 a < 13

What is ((1-log_{4}(x)))/((1+log_{2)(x))}<= 1/2 ?
The solution to ((1-log_{4}(x)))/((1+log_{2)(x))}<= 1/2 is True for all x