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Use logarithms to evaluate the expression: (453 9.814 / (4.283 (0.009478)2))^(1/2)

Mathematics

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Step 1: Let the given expression be XX.

X=(453×9.8144.283×(0.009478)2)12X = \left( \frac{453 \times 9.814}{4.283 \times (0.009478)^2} \right)^{\frac{1}{2}}

Take the logarithm of both sides.

log⁡X=log⁡((453×9.8144.283×(0.009478)2)12)\log X = \log \left( \left( \frac{453 \times 9.814}{4.283 \times (0.009478)^2} \right)^{\frac{1}{2}} \right)

Using the logarithm property log⁡(ab)=blog⁡a\log(a^b) = b \log a:

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