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9 October, 08:25

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.

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  1. 9 October, 08:28
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    Answer: 120.393

    Step-by-step explanation:

    Jupiter: 6.14x10¹⁰ km²

    Earth: 5.10x10⁸ km²

    earth. x=jupiter

    5.10x10⁸. x = 6.14x10¹⁰

    ㏒ (5.10x10⁸. x) = ㏒ (6.14x10¹⁰)

    ㏒ 5.10 + ㏒ 10⁸ + ㏒ x = ㏒ 6.14 + ㏒ 10¹⁰

    ㏒ 5.10 + 8 ㏒ 10 + ㏒ x = ㏒ 6.14 + 10 ㏒ 10

    According to the logarithm table:

    ㏒ 5.10 = 0.7075

    ㏒ 6.14 = 0.7881

    ㏒ 10 = 1

    0.7075 + 8.1 + ㏒ x = 0.7881 + 10.1

    0.7075 + 8 + ㏒ x = 0.7881 + 10

    8.7075 + ㏒ x = 10.7881

    ㏒ x = 10.7881 - 8.7075

    ㏒ x = 2.0806

    x = 120.393

    So, Jupiter is 120.393 times bigger than Earth.
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