Question

Determine o valor de f(2), sabendo que
$f(x) = log(2) ( \frac{6x}{2x - 1} )$

Answer 1

f(x) = Lg2 ( 6x/2x - 1 ) como f(x) = f(2) temos

f(2) = Log2 ( 6(2)/2(2) - 1 )

f(2) = Log2 ( 12/4 - 1 )

f(2) = Log2(12/3)

f(2) = Log2 ( 4 )

f(2) = Log2 ( 2² )

f(2) = 2.Log 2 (2)

f(2) = 2