Степени и Логарифмы,Буду очень благодарна!

1) log₆18+log₆2 = log₆(18*2) = log₆36 = log₆6² = 2.
2) 15^(3,4) / 5^(0,4)*3^(3,4) = 5^(3,4)*3^(3,4) / 5^(0,4)*3^(3,4) =
     = 5^(3,4-0,4) = 5³ = 125.
3) log₃m^(5/8) = (5/8)* log₃m =(5/8)*40 = 25 (так как  log₃m = 40).
4)  log₃256* log₂(1/81) / ( log₅(1/16)* log₄125 =
     = log₃2⁸* log₂(3⁻⁴) / ( log₅(2⁻⁴)* log₄5³ =
     = 8log₃2*(-4) log₂3 / ((-4)log₅2)* (3/2)log₂5 =
     =  -32log₃2*(1/ log₃2) / ((-6)log₅2)* (1)/log₅2) = 32 / 6 = 16 / 3 = 5(1/3).
5) log₂lg100 =  log₂lg10² =  log₂2 = 1.