If cos α = log of base 2 with 8, and α belongs to (0, π / 2), then the value of Tan (π - α)

If cos α = log of base 2 with 8, and α belongs to (0, π / 2), then the value of Tan (π - α)

It can be obtained by using the formula of changing bottom
Log base 8, logarithm of 2 = 1 / 3
So cos α = 1 / 3
Because α belongs to (0, π / 2),
Sin α = radical [1 - (COS α) ^ 2] = 2 √ 2 / 3
tan(π-α)=-tanα=-sinα/cosα=[-2√2/3]/(1/3)=-2√2