Question

Resolva as equações

a)3^X =6.561

b)2^x+3=2.048

c)(3/10)^x=0,3

d)((3/4)^x1=27/64

Answer 1

$A) 3^x = 6561 \\ 3^x = 3^8 \\ X = 8$


$B) 2^{x+3} = 2048 \\ 2^{x+3} = 2^{11} \\ x+3 = 11 \\ x = 11-3 \\ x = 8$


C) $(\frac{3}{10} )^x = 0,3 \\ 0,3^x = 0,3^1 \\ x = 1$




 D) $( \frac{3}{4} )^{x} = \frac{27}{64} \\ \\ (\frac{3}{4} )^{x}= \frac{3^3}{4^3} \\ \\ (\frac{3}{4} )^{x} = (\frac{3}{4})^3 \\ \\ x = 3$