Question

16 elevado a X = √2 ?

Answer 1

16^x = 2^1/2  mas temos de igualar as base: entao

16= (2^4)^x= 2^1/2
(2^4)^x= 2^4x ai fica :
2^4x=2^1/2

4x= 1/2
4x(2)=1
8x=1
x=1/8

Answer 2

$16^{x}=\sqrt{2}\\ \\ \left(2^{4} \right )^{x}=2^{\,^{1}\!\!\!\diagup\!\!_{2}}\\ \\ \left(2^{4} \right )^{x}=2^{\,^{1}\!\!\!\diagup\!\!_{2}}\\ \\ 2^{4x}=2^{\,^{1}\!\!\!\diagup\!\!_{2}}\\ \\ \\ 4x=\dfrac{1}{2}\\ \\ x=\dfrac{\,^{1}\!\!\!\diagup\!\!_{2}}{4}\\ \\ x=\dfrac{1}{2}\cdot \dfrac{1}{4}\\ \\ x=\dfrac{1}{8}$