Question

a solução da equação exponencial 2^x-3 +2^x =9​

Answer 1

Propriedades:

• $\log_aa^x=x$

• $\log_aa=1$

• $\log_a{b*c}=\log_ab+\log_ac$

Seja y=2^x:

$2^x-3+2^x=9\\\\y-3+y=9\\\\2y=12\\\\y=6\\\\\\2^x=6\\\\\log_2{2^x}=\log_26\\\\x=\log_26=\log_22+\log_23=1+\log_23$