Question

Resolva a equação exponencial

4×+²-2²×+³=32

Answer 1

$4^{x+2}-2^{2x+3}=32$

$(2^2)^{x+2}-2^{2x+3}=32$

$2^{2x+4}-2^{2x+3}=32$

$2^{2x}\cdot 2^4-2^{2x}\cdot 2^3=32$

$2^{2x}(2^4-2^3)=32$

$2^{2x}(16-8)=32$

$2^{2x}\cdot 8=32$

$2^{2x}=\frac{32}{8}$

$2^{2x}=4$

$2^{2x}=2^2$

$2x=2$

$x=1$