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Use logarithms to evaluate sqrt((1.25 x 0.0465)/( 7)).

Mathematics

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1. Use logarithms to evaluate.

1.25×0.0465log⁡7\sqrt{\frac{1.25 \times 0.0465}{\log 7}}
  1. Let N=1.25×0.0465log⁡7N = \sqrt{\frac{1.25 \times 0.0465}{\log 7}}.

    Take the logarithm (base 10) of both sides.

    log⁡N=log⁡((1.25×0.0465log⁡7)1/2)\log N = \log \left( \left( \frac{1.25 \times 0.0465}{\log 7} \right)^{1/2} \right)
  2. Apply logarithm properties log⁡(ab)=blog⁡a\log(a^b) = b \log a and $\log(\frac{a}{b

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