43. The surface area of Jupiter is 6.14 × 1010 km2, and the surface area of Earth is 5.10 × 108 km². Without using a calculator but using the table of logarithms, find how many times greater the surface area of Jupiter is than the surfacearea of Earth.
Accepted Solution
A:
Answer: 120.393Step-by-step explanation:Jupiter: 6.14x10¹⁰ km²Earth: 5.10x10⁸ km²earth.x=jupiter5.10x10⁸.x = 6.14x10¹⁰㏒(5.10x10⁸.x) = ㏒(6.14x10¹⁰)㏒ 5.10 + ㏒ 10⁸ + ㏒ x = ㏒ 6.14 + ㏒ 10¹⁰ ㏒ 5.10 + 8 ㏒ 10 + ㏒ x = ㏒ 6.14 + 10 ㏒ 10According to the logarithm table:㏒ 5.10 = 0.7075㏒ 6.14 = 0.7881㏒ 10 = 10.7075 + 8.1 + ㏒ x = 0.7881 + 10.10.7075 + 8 + ㏒ x = 0.7881 + 108.7075 + ㏒ x = 10.7881㏒ x = 10.7881 - 8.7075㏒ x = 2.0806x = 120.393So, Jupiter is 120.393 times bigger than Earth.