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0.8=(1/(0.018))[(1.63)]^{0.67}(s)^{1/2}

解答

0.8 = (\frac{1}{0.018}) [(1.63)]^{0.67} (s)^{\frac{1}{2}}

解答

s = \frac{81}{390625 \cdot 1.6 3 ^{1.34}}

+1

十进制表示法

s = 0.00010 \dots

求解步骤

0.8 = (\frac{1}{0.018}) [(1.63)]^{0.67} s^{\frac{1}{2}}

在两边乘以

0.018

0.8 \cdot 0.018 = \frac{1}{0.018} [1.63]^{0.67} s^{\frac{1}{2}} \cdot 0.018

化简

0.0144 = 1.6 3^{0.67} s^{\frac{1}{2}}

交换两边

1.6 3^{0.67} s^{\frac{1}{2}} = 0.0144

两边除以

1.6 3^{0.67}

s^{\frac{1}{2}} = \frac{9}{625 \cdot 1.6 3 ^{0.67}}

两边进行平方:

s = \frac{81}{390625 \cdot 1.6 3 ^{1.34}}

s = \frac{81}{390625 \cdot 1.6 3 ^{1.34}}

验证解:

s = \frac{81}{390625 \cdot 1.6 3 ^{1.34}}

真

解是

s = \frac{81}{390625 \cdot 1.6 3 ^{1.34}}

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