Question

16 elevado a x + 64=5.4 elevado a x+1

Answer 1

Boa tarde Tamires

16^x + 64 = 5*4^(x + 1)

2^4x + 64 = 20*2^2x

y = 2^2x

y² - 20y + 64 = 0

delta
d² = 400 - 256 = 144
d = 12

y1 = (20 + 12)/2 = 32/2 = 16
y2 = (20 - 12)/2 = 8/2 = 4 

2^2x = 2^4 
2x = 4
x = 2

2^2x = 2^2 
2x = 2
x = 1

S = (1,2)