simplify ln(72/100)

Solution

simplify

ln (\frac{72}{100})

ln (72) - 2 ln (10)

Decimal Notation

- 0.32850 \dots

Solution steps

ln (\frac{72}{100})

Apply log rule:

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

ln (\frac{72}{100}) = ln (72) - ln (100)

= ln (72) - ln (100)

ln (100) = 2 ln (10)

= ln (72) - 2 ln (10)

ln (\frac{500}{x ^{6}})

ln (\frac{1}{1 - x}) \cdot e

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6 lo g_{5} (x) - 6 lo g_{5} (y)

ln (x) - ln (sin (\frac{y}{x}))