What is the answer to 27^{x^2}-2.3^{2x^2}=567 ?

The answer to 27^{x^2}-2.3^{2x^2}=567 is No Solution for x\in\mathbb{R}

Solve for x: 27^{x^2}-2.3^{2x^2}=567

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

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2 7^{x^{2}} - 2. 3^{2 x^{2}} = 567

No Solution for x \in R

Solution steps

2 7^{x^{2}} - 2. 3^{2 x^{2}} = 567

2 7^{x^{2}} - (\frac{23}{10})^{2 x^{2}} = 567

Apply exponent rules

- 2 7^{x^{2}} (2 7^{x^{2}} - 1) = 567

Rewrite the equation with

2 7^{x^{2}} = u

- u (u - 1) = 567

Solve

- u (u - 1) = 567 :

No Solution for

u \in R

No Solution for x \in R

2 5^{- x} = 125

9^{x} = 3^{2 x}

3^{n + 3} + 3^{n} = 756

5^{2 x - 2} - 6 \cdot 5^{x} + 125 = 0

9^{x + 1} = 2 7^{x}

What is the answer to 27^{x^2}-2.3^{2x^2}=567 ?
The answer to 27^{x^2}-2.3^{2x^2}=567 is No Solution for x\in\mathbb{R}
Solve for x: 27^{x^2}-2.3^{2x^2}=567
The solution is No Solution for x\in\mathbb{R}