Verified answer

10/√6 = 10√6/√6.√6 = 10√6/6 = 5√6/3

Substituindo : 10/√6 = 5√6/3

10^log(10/√6) = 10^log(5√6/3)

log(5√6/3) = x

10^x = 5√6/3

Substituindo 5√6/3 = 10^x

10^log(5√6/3) = 10^log(10^x)

Propriedade log a^b = b.log a

10^log(10^x) = 10^(xlog10)

Substituindo log 10 = 1

10^(xlog10) = 10^x.1

Resubstituindo 10^x = 5√6/3

10^x.1 = 5√6/3

Logo...

10^log(10/√6) = 10^log(5√6/3) = 10^log(10^x) = 10^(xlog10) = 10^x = 5√6/3

10^log(10/√6) = 5√6/3

Resposta: 5√6/3