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

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

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

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

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

No Solution for x \in R

Solution steps

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

Apply log rules

\frac{ln ( x - 2 )}{ln ( x )} = 2

Multiply both sides by

ln (x)

\frac{ln ( x - 2 )}{ln ( x )} ln (x) = 2 ln (x)

Simplify

ln (x - 2) = 2 ln (x)

Apply log rules

x - 2 = x^{2}

Solve

x - 2 = x^{2} :

No Solution for

x \in R

No Solution for x \in R

lo g_{x - 2} (4) = 2

ln (x) = 4.7732100000000 \dots

lo g_{10} (x) = 243

lo g_{a} (2) + 2 lo g_{a} (7) = 2

0.5 = - lo g_{10} (t)

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