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Use logarithms to evaluate sqrt(56.86) x 12.3450.415

Mathematics

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Question 1:
Use logarithms to evaluate:

56.86×12.3450.415\frac{\sqrt{56.86} \times 12.345}{0.415}

Step 1: Let X=56.86×12.3450.415X = \frac{\sqrt{56.86} \times 12.345}{0.415}.
Take the logarithm of both sides:

log⁡X=log⁡(56.86×12.3450.415)\log X = \log\left(\frac{\sqrt{56.86} \times 12.345}{0.415}\right)

Apply logarithm properties:

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