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Popular >

simplify ln(8192/625)

Solution

simplify

ln (\frac{8192}{625})

Solution

13 ln (2) - 4 ln (5)

+1

Decimal Notation

2.57316 \dots

Solution steps

ln (\frac{8192}{625})

Apply log rule:

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

ln (\frac{8192}{625}) = ln (8192) - ln (625)

= ln (8192) - ln (625)

ln (8192) = 13 ln (2)

ln (625) = 4 ln (5)

= 13 ln (2) - 4 ln (5)

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Frequently Asked Questions (FAQ)

What is ln(8192/625) ?
The solution to ln(8192/625) is 13ln(2)-4ln(5)