Question

equações exponenciais 4^×=√2

Answer 1

Olá!

$\\ \mathsf{4^x = \sqrt{2}} \\\\ \mathsf{(2^2)^x = 2^{\frac{1}{2}}} \\\\ \mathsf{2^{2x} = 2^{\frac{1}{2}}}$
 
 Igualando as bases, já que são iguais, teremos:

$\\ \mathsf{2x = \frac{1}{2}} \\\\ \boxed{\mathsf{x = \frac{1}{4}}} \ \text{ou} \ \boxed{\mathsf{x = 2^{- 2}}}$

Answer 2

2^2x = 2 1/2
2x= 1/2
x= 1/4