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Popular >

simplify ln(15625/2187)

Solution

simplify

ln (\frac{15625}{2187})

Solution

6 ln (5) - 7 ln (3)

+1

Decimal Notation

1.96634 \dots

Solution steps

ln (\frac{15625}{2187})

Apply log rule:

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

ln (\frac{15625}{2187}) = ln (15625) - ln (2187)

= ln (15625) - ln (2187)

ln (15625) = 6 ln (5)

ln (2187) = 7 ln (3)

= 6 ln (5) - 7 ln (3)

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Frequently Asked Questions (FAQ)

What is ln(15625/2187) ?
The solution to ln(15625/2187) is 6ln(5)-7ln(3)