Germany Math Olympiad Problem: (3ˣ)(3ˣ)(3ˣ) = 21; x =? (3ˣ)(3ˣ)(3ˣ) = 3³ˣ = 21, 3x = log₃21 = log₃3 + log₃7 = 1 + 1.771, x = 2.771/3 = 0.924 The calculation was achieved on a smartphone with a standard calculator app Answer check: x = 0.924, 3x = log₃21: (3ˣ)(3ˣ)(3ˣ) = 3³ˣ = 3^log₃21 = 21; Confirmed Final answer: x = (log₃21)/3 = 0.924
Germany Math Olympiad Problem: (3ˣ)(3ˣ)(3ˣ) = 21; x =?
(3ˣ)(3ˣ)(3ˣ) = 3³ˣ = 21, 3x = log₃21 = log₃3 + log₃7 = 1 + 1.771, x = 2.771/3 = 0.924
The calculation was achieved on a smartphone with a standard calculator app
Answer check:
x = 0.924, 3x = log₃21: (3ˣ)(3ˣ)(3ˣ) = 3³ˣ = 3^log₃21 = 21; Confirmed
Final answer:
x = (log₃21)/3 = 0.924