Question

Me ajudem pf 8x+2=512 e 2x-3 +2x=96 equação exponencial

Answer 1

$a)\ 8^{x+2}=512\\\\8^{x+2}=8^3\\\\x+2=3\\\\x=3-2\\\\x=1\\\\S=\{1\}$




$b)\ 2^{x-3}+2^x=96\\\\\frac{2^x}{2^3}+2^x=96\\\\2^x+8.2^x=768\\\\9.2^x=768\\\\2^x=\frac{768}{9}\\\\2^x=\frac{256}{3}\ \therefore\ x=\log_{2}(\frac{256}{3})\\\\\\\\S=\{\log_2(\frac{256}{3})\}$