Question

Resolva a equação exponencial
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Answer 1

Resposta:

Explicação passo-a-passo:

$16^x*4^{x+3}-8^{8+2}  ==> 16=4^2\\\\(4^2)^x*4^{x+3}-8^{x+2}=0\\\\4=2^2\\8=2^3\\\\([2^2]^2)^x*(2^2)^{x+3}-(2^3)^{x+2}=0\\\\Pela \ propriedade\\(a^b)^c= a^{bc}\\\\2^{4x}*2^{2(x+3)}-2^{3(x+2)}=0\\\\2^{4x}*2^{2x+6}-2^{3x+6}=0\\\\Pela \ propriedade\\a^b*a^c= a^{b+c}\\2^{4x+2x+6}-2^{3x+6}=0\\\\2^{6x+6}-2^{3x+6}=0\\2^{6x+6}=2^{3x+6}\\Pela \ propriedade\\a^b=a^c => b=c\\\\6x+6=3x+6\\6x=3x\\6x-3x=0\\x(6-3)=0\\=> x=0$