What is the answer to (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x)) ?

The answer to (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x)) is No Solution for x\in\mathbb{R}

Solve for x: (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x))

The solution is No Solution for x\in\mathbb{R}

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\frac{lo g _{2} ( x ) - 1}{2} = lo g_{2} (x)

No Solution for x \in R

Solution steps

\frac{lo g _{2} ( x ) - 1}{2} = lo g_{2} (x)

Multiply both sides by

2

\frac{lo g _{2} ( x ) - 1}{2} \cdot 2 = lo g_{2} (x) \cdot 2

Simplify

lo g_{2} (x) - 1 = lo g_{2} (x) \cdot 2

Apply log rules

lo g_{2} (x) - 1 = \frac{1}{2} lo g_{2} (x) \cdot 2

Rewrite the equation with

lo g_{2} (x) = u

u - 1 = \frac{1}{2} u \cdot 2

Solve

u - 1 = \frac{1}{2} u \cdot 2 :

No Solution for

u \in R

No Solution for x \in R

lo g_{10} (x) + lo g_{10} (x + 1) = 2

lo g_{10} (2 x - 3) = 1

lo g_{10} (2 x - 3) = 2

lo g_{10} ((5 x - 3)^{2}) + lo g_{10} ((2 x + 3)^{3}) = 2

ln (x + 1) = 2 + ln (x - 1)

What is the answer to (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x)) ?
The answer to (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x)) is No Solution for x\in\mathbb{R}
Solve for x: (sqrt(log_{2)(x)}-1)/2 =log_{2}(sqrt(x))
The solution is No Solution for x\in\mathbb{R}