Oblicz x (x>0) a) log5 X = -2 b) log8 X = -1/3 c) log3 X = -3 d) log2/3 X = -1 e) log1/2 X = 5

a) log5 (x) = -2 x = 5^(-2) = 1 / {5^2) = 1/25 = 0,04 b) log8(x) = -1/3 x = 8^(-1/3) = 1 / (8^(1/3)) = 1/∛8 = 1/2 c) log3(x) = -3 x = 3^(-3) = 1/(3^3) = 1/27 d) log2/3(x) = -1 x = (2/3)^(-1) = 3/2 = 1,5 e) log1/2(x) = 5 x = (1/2)^5 = 1/32 ================================

a) log 5X = -2 5^( - 2) = x x = 25^( - 1) x = 1/25 x = 0,04 b) log8 X = -1/3 x = 8^( - 1/3) x = 1/∛8 x = 1/2 x = 0,5 c) log3 X = -3 x = 3^( - 3) x = 1/(3^3) x = 1/27 d) log2/3 X = -1 x = (2/3)^( - 1) x = 3/2 x = 1,5 e) log1/2 X = 5 x = 0,5^5 x = 1/32

a) log5 X =-2 x =5 do potęgi(-2) = 1/5^2 =1/25 b) log8 X = -1/3 x =1/8^(1/3) =pierwiastek trzeciego stopnia z 1/8 = 1/2 c) log3 X = -3 x =3 do potęgi(-3) = (1/3)^3 = 1/27 d) log 2/3 X = -1 x = (2/3) do potęgi(-1) = 3/2 e) log1/2 X =5 x =(1/2)^5, (1/2 do potęgi 5)