What is ln(5000000/3200000) ?

The solution to ln(5000000/3200000) is ln(5000000)-5ln(20)

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simplify ln(5000000/3200000)

simplify

ln (\frac{5000000}{3200000})

ln (5000000) - 5 ln (20)

Decimal Notation

0.44628 \dots

Solution steps

ln (\frac{5000000}{3200000})

Apply log rule:

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

ln (\frac{5000000}{3200000}) = ln (5000000) - ln (3200000)

= ln (5000000) - ln (3200000)

ln (3200000) = 5 ln (20)

= ln (5000000) - 5 ln (20)

ln^{\frac{5}{7}} (\frac{1}{2})

ln (\frac{283}{273})

ln (\frac{0.01}{1 - 0.01})

ln (80 (60)^{n})

ln (\frac{30}{12.95})

What is ln(5000000/3200000) ?
The solution to ln(5000000/3200000) is ln(5000000)-5ln(20)