What is the answer to 9^x-6*3^x+81=0 ?

The answer to 9^x-6*3^x+81=0 is No Solution for x\in\mathbb{R}

Solve for x: 9^x-6*3^x+81=0

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

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9^{x} - 6 \cdot 3^{x} + 81 = 0

No Solution for x \in R

Solution steps

9^{x} - 6 \cdot 3^{x} + 81 = 0

Apply exponent rules

(3^{x})^{2} - 6 \cdot 3^{x} + 81 = 0

Rewrite the equation with

3^{x} = u

(u)^{2} - 6 u + 81 = 0

Solve

u^{2} - 6 u + 81 = 0 :

No Solution for

u \in R

No Solution for x \in R

3^{2 x^{2} - 3} = 81

3^{2 x + 1} = 3^{x + 5}

e^{x^{2}} = (e^{x})^{2}

4^{y} = 16

500 e^{0.0675 t} = 1000

What is the answer to 9^x-6*3^x+81=0 ?
The answer to 9^x-6*3^x+81=0 is No Solution for x\in\mathbb{R}
Solve for x: 9^x-6*3^x+81=0
The solution is No Solution for x\in\mathbb{R}