simplify ln(115/49)

Solution

simplify

ln (\frac{115}{49})

ln (115) - 2 ln (7)

Decimal Notation

0.85311 \dots

Solution steps

ln (\frac{115}{49})

Apply log rule:

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

ln (\frac{115}{49}) = ln (115) - ln (49)

= ln (115) - ln (49)

ln (49) = 2 ln (7)

= ln (115) - 2 ln (7)

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\frac{1}{2} \cdot lo g_{2} (5)