What is 2000(ln(140000)-ln(122412.5))-82.075 ?

The solution to 2000(ln(140000)-ln(122412.5))-82.075 is 2000ln(1.14367…)-82.075

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simplify 2000(ln(140000)-ln(122412.5))-82.075

simplify

2000 (ln (140000) - ln (122412.5)) - 82.075

2000 ln (1.14367 \dots) - 82.075

Decimal Notation

186.41686 \dots

Solution steps

2000 (ln (140000) - ln (122412.5)) - 82.075

Apply log rule:

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

ln (140000) - ln (122412.5) = ln (\frac{140000}{122412.5})

= 2000 ln (\frac{140000}{122412.5}) - 82.075

Divide the numbers:

\frac{140000}{122412.5} = 1.14367 \dots

= 2000 ln (1.14367 \dots) - 82.075

ln (2) - ln (x + 2)

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

- lo g_{10} (6.667 \cdot 1 0^{- 5})

ln (\frac{e ^{- B A}}{1 - e ^{- B A}})

5 lo g_{2} (x) - 3 lo g_{2} (z)

What is 2000(ln(140000)-ln(122412.5))-82.075 ?
The solution to 2000(ln(140000)-ln(122412.5))-82.075 is 2000ln(1.14367…)-82.075