Los 2a^2x-3a^x+1=0 op

$$2 a ^ { 2 x } - 3 a ^ { x } + 1 = 0$$

Oplossen voor a

$$\left\{\begin{matrix}\\a=1\text{, }&\text{unconditionally}\\a=\left(\frac{1}{2}\right)^{\frac{1}{x}}\text{, }&x\neq 0\\a=-\left(\frac{1}{2}\right)^{\frac{1}{x}}\text{, }&x\neq 0\text{ and }Numerator(x)\text{bmod}2=0\text{ and }Denominator(x)\text{bmod}2=1\\a\neq 0\text{, }&x=0\\a=-1\text{, }&Numerator(x)\text{bmod}2=0\text{ and }Denominator(x)\text{bmod}2=1\end{matrix}\right,$$

Oplossen voor x

$$\left\{\begin{matrix}x=-\log_{a}\left(2\right)\text{, }&a\neq 1\text{ and }a>0\\x\in \mathrm{R}\text{, }&a=1\\x=0\text{, }&a\neq 0\text{ and }|a|\neq 1\end{matrix}\right,$$