Logarithms · Mathematics · AP EAPCET

$$4^x-3^{x-\frac{1}{2}}=3^{x+\frac{1}{2}}-2^{2 x-1} \Rightarrow x=$$

$$\left\{x \in R / \frac{\sqrt{|x|^2-2|x|-8}}{\log \left(2-x-x^2\right)}\right.$$ is a real number $$\}=$$

If $$4+6\left(e^{2 x}+1\right) \tanh x=11 \cosh x+11 \sinh x$$ then $$x=$$

If $$4^x-3^{x-1 / 2}=3^{x+1 / 2}-2^{2 x-1}$$, then the value of $$x$$ is