x^{37}=2500(7.5)^{37}

解

x^{37} = 2500 (7.5)^{37}

x = 7.5 372500

十進法表記

x = 9.26611 \dots

解答ステップ

x^{37} = 2500 (7.5)^{37}

括弧を削除する:

(a) = a

x^{37} = 2500 \cdot 7. 5^{37}

x^{n} = f (a)

の場合, n は奇数, 解は

x = n f (a)

x = 37 2500 \cdot 7. 5^{37}

37 2500 \cdot 7. 5^{37} = 7.5 372500

x = 7.5 372500