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Popular >

simplify ln(5/1000000)

Solution

simplify

ln (\frac{5}{1000000})

Solution

ln (5) - 6 ln (10)

+1

Decimal Notation

- 12.20607 \dots

Solution steps

ln (\frac{5}{1000000})

Apply log rule:

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

ln (\frac{5}{1000000}) = ln (5) - ln (1000000)

= ln (5) - ln (1000000)

ln (1000000) = 6 ln (10)

= ln (5) - 6 ln (10)

Popular Examples

simplify 1/2 ln(28/34)simplify

\frac{1}{2} ln (\frac{28}{34})

simplify ln((e^9)/(11))simplify

ln (\frac{e ^{9}}{11})

simplify 20log_{10}(2pi*(33.4)*(5.1)*(1.8))simplify

20 lo g_{10} (2 π \cdot (33.4) \cdot (5.1) \cdot (1.8))

expand log_{10}(x-1)+log_{10}(x+1)expand

lo g_{10} (x - 1) + lo g_{10} (x + 1)

simplify 0.0259*ln((1.5*10^5)/(10^{15)})simplify

0.0259 \cdot ln (\frac{1.5 \cdot 1 0 ^{5}}{1 0 ^{15}})

Frequently Asked Questions (FAQ)

What is ln(5/1000000) ?
The solution to ln(5/1000000) is ln(5)-6ln(10)