What is the answer to x^{log_{4}(x^9)}=(4x)^{12} ?

The answer to x^{log_{4}(x^9)}=(4x)^{12} is No Solution for x\in\mathbb{R}

Solve for x: x^{log_{4}(x^9)}=(4x)^{12}

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

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x^{l o g_{4} (x^{9})} = (4 x)^{12}

No Solution for x \in R

Solution steps

x^{l o g_{4} (x^{9})} = (4 x)^{12}

Apply exponent rules

e^{l o g_{4} (x^{9}) l n (x)} = (4 x)^{12}

Take both sides of the equation to the power of

\frac{1}{12}

(e^{l o g_{4} (x^{9}) l n (x)})^{\frac{1}{12}} = ((4 x)^{12})^{\frac{1}{12}}

Simplify

(e^{l o g_{4} (x^{9}) l n (x)})^{\frac{1}{12}} : (x^{l o g_{4} (x^{9})})^{\frac{1}{12}}

Solve

(x^{l o g_{4} (x^{9})})^{\frac{1}{12}} = 4 ∣ x ∣ :

No Solution for

x \in R

No Solution for x \in R

ln (x) = - \frac{4 x}{e} + 5

62 = 10 lo g_{10} (\frac{x}{85})

0.501 = lo g_{10} (x)

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

3.28 = - lo g_{10} (x)

What is the answer to x^{log_{4}(x^9)}=(4x)^{12} ?
The answer to x^{log_{4}(x^9)}=(4x)^{12} is No Solution for x\in\mathbb{R}
Solve for x: x^{log_{4}(x^9)}=(4x)^{12}
The solution is No Solution for x\in\mathbb{R}