Question

resolva as equação
$3 ^{2x} - 5.3 ^{x} = - 6$

Answer 1

3^2x -5.3^x = -6 ====> 3^x=y
y² -5y + 6 = 0
∆=25-24=1
y'=5+1/2=3
y"=5-1/2=2

3^x = y'
3^x = 3^1 ===>x'= 1 ✓

3^x = y"
3^x = 2 ==> x" = Log3 2 ✓