Question

${3}^{2x} - 5.3 { }^{x} = - 6$

Answer 1

Resposta:

3^2x-5.3^x=-6  para 3^x= Y

(3^x)²-5.3^x=-6

y²-5y=-6

y²-5y+6=0

Delt= -5²-4.1.6

Delt= 25-24

Delt= 1

Y=(5+-√1)2.1

Y'=5+1/2 = 6/2 = 3

Y''=5-1/2 = 4/2= 2

3^x=Y

3^x=3

3^x=3¹

x=1

3^x=2

Log3^x=2

xlog3=log2

x=log2/log3

X=0,30/0,47

X=0,63