Question

Resolver a seguinte equação exponencial:
c) 4 . 32^x = 1/2

Answer 1

$4\cdot32^{x}=\dfrac{1}{2}$

Veja que:

$4=2^2$, $32^{x}=(2^5)^x=2^{5x}$ e $\dfrac{1}{2}=2^{-1}$.

Assim:

$2^2\cdot2^{5x}=2^{-1}$

$2^{5x+2}=2^{-1}$

$5x+2=-1$

$5x=-3$

$x=\dfrac{-3}{5}$.