simplify ln(74/100)

Solution

simplify

ln (\frac{74}{100})

ln (74) - 2 ln (10)

Decimal Notation

- 0.30110 \dots

Solution steps

ln (\frac{74}{100})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{74}{100}) = ln (74) - ln (100)

= ln (74) - ln (100)

ln (100) = 2 ln (10)

= ln (74) - 2 ln (10)

- \frac{7}{4} - \frac{3 ln ( 6 )}{2}

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- ln (\frac{x}{y}) + 2 ln (x)

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