What is 2000(ln(140000)-ln(92487.5))-221.725 ?

The solution to 2000(ln(140000)-ln(92487.5))-221.725 is 2000ln(1.51371…)-221.725

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simplify 2000(ln(140000)-ln(92487.5))-221.725

simplify

2000 (ln (140000) - ln (92487.5)) - 221.725

2000 ln (1.51371 \dots) - 221.725

Decimal Notation

607.41284 \dots

Solution steps

2000 (ln (140000) - ln (92487.5)) - 221.725

Apply log rule:

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

ln (140000) - ln (92487.5) = ln (\frac{140000}{92487.5})

= 2000 ln (\frac{140000}{92487.5}) - 221.725

Divide the numbers:

\frac{140000}{92487.5} = 1.51371 \dots

= 2000 ln (1.51371 \dots) - 221.725

lo g_{2} (\frac{4 x}{y})

20 \cdot lo g_{10} (\frac{10}{0.24})

ln (\frac{e ^{x + x yz}}{e ^{x + x yz} + e ^{y}})

0.2 lo g_{2} (0.2) + 0.8 lo g_{2} (0.8)

- lo g_{10} (3.8 \cdot 1 0^{- 3})

What is 2000(ln(140000)-ln(92487.5))-221.725 ?
The solution to 2000(ln(140000)-ln(92487.5))-221.725 is 2000ln(1.51371…)-221.725