What is 0.000003ln(100/5200) ?

The solution to 0.000003ln(100/5200) is 0.000003(2ln(10)-ln(5200))

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simplify 0.000003ln(100/5200)

simplify

0.000003 ln (\frac{100}{5200})

0.000003 (2 ln (10) - ln (5200))

Solution steps

0.000003 ln (\frac{100}{5200})

Apply log rule:

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

ln (\frac{100}{5200}) = ln (100) - ln (5200)

= 0.000003 (ln (100) - ln (5200))

ln (100) = 2 ln (10)

= 0.000003 (2 ln (10) - ln (5200))

lo g_{10} (4 \cdot 1 0^{- 8})

9 ln (18) - 5 ln (10)

- ln (e^{x} + 1) + ln (2)

2 ln (\frac{x - 1}{x + 2})

lo g_{10} (z^{6})

What is 0.000003ln(100/5200) ?
The solution to 0.000003ln(100/5200) is 0.000003(2ln(10)-ln(5200))