Question

sy

求解此題

單元6對數與對數律
9.
問:3 是幾位數?最高位數字為何?24
(log3≈0.4771,log7≈0.8451,log8~0.9031)十

Answer 1

qn

log3⁵⁰
=50log3
≈50×0.4771
=23.855
3⁵⁰≈10²³•⁸⁵⁵=10⁰•⁸⁵⁵×10²³
7≈10⁰•⁸⁴⁵¹<10⁰•⁸⁵⁵<10⁰•⁹⁰³¹≈8
→ 3⁵⁰≈(7.⋯)×10²³