What is the answer to log_{x}(x^2)=6 ?

The answer to log_{x}(x^2)=6 is No Solution for x\in\mathbb{R}

Solve for x: log_{x}(x^2)=6

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

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lo g_{x} (x^{2}) = 6

No Solution for x \in R

Solution steps

lo g_{x} (x^{2}) = 6

Apply log rules

\frac{ln ( x ^{2} )}{ln ( x )} = 6

Multiply both sides by

ln (x)

\frac{ln ( x ^{2} )}{ln ( x )} ln (x) = 6 ln (x)

Simplify

ln (x^{2}) = 6 ln (x)

Apply log rules

x = 1

Verify Solutions:

x = 1

False

The solution is

No Solution for x \in R

lo g_{10} (x) = 2.1

lo g_{10} (x) = 2.3

lo g_{10} (x) = 2.4

lo g_{10} (x) = 2.9

lo g_{2} (2 x + 6) = 4

What is the answer to log_{x}(x^2)=6 ?
The answer to log_{x}(x^2)=6 is No Solution for x\in\mathbb{R}
Solve for x: log_{x}(x^2)=6
The solution is No Solution for x\in\mathbb{R}