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Conversion of Numbers Using Logarithms

log 10 8 + lo...

Question

${log}_{10} 8 + {log}_{10} 5 - {log}_{10} 4 =$

{log}_{10} 9

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{log}_{10} 36

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Solution

The correct option is C $1$
${log}_{10} 8 + {log}_{10} 5 - {log}_{10} 4 = {log}_{10} (\frac{8 \times 5}{4})$

$= {log}_{10} (\frac{40}{4}) = {log}_{10} 10 = 1$

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