Question

3 elevado a x-1 +3 elevado a x-1 =10

Answer 1

$3^{x-1}+3^{x-1}=10\\ 3^x:3^{1}+3^x:3^1=10\\ \\ 3^x = y:\\\\\frac{y}{3}  + \frac{y}{3}  = 10\\ \\ \frac{y+y}{3} =\frac{30}{3} \\ \\ 2y=30\\y=15\\ \\3^x=y\\3^x=15=erro$

S = ∅

Answer 2

Resposta:

x=2,4649735

Explicação passo-a-passo:

3^(x-1)+3^(x-1)=10

3^x.3^-1+3^x.3^-1=10

Fazendo:

3^x=y

y.3^-1+y.3^-1=10

y/3+y/3=10

mmc=3

y+y=30

2y=30

y=30/2

y=15

Mas:

3^x=y

3^x=15

x.log3=log15

x=lo15/log3

x=1,1760913/0,4771212

x=2,4649735