What is 2000(ln(140000)-ln(87500))-245 ?

The solution to 2000(ln(140000)-ln(87500))-245 is 2000ln(8/5)-245

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simplify 2000(ln(140000)-ln(87500))-245

simplify

2000 (ln (140000) - ln (87500)) - 245

2000 ln (\frac{8}{5}) - 245

Decimal Notation

695.00725 \dots

Solution steps

2000 (ln (140000) - ln (87500)) - 245

Apply log rule:

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

ln (140000) - ln (87500) = ln (\frac{140000}{87500})

= 2000 ln (\frac{140000}{87500}) - 245

Cancel the common factor:

17500

= 2000 ln (\frac{8}{5}) - 245

6 lo g_{4} (y - 5) - 5 lo g_{4} (y + 4)

6 lo g_{b} (w) - \frac{1}{5} lo g_{b} (z) + 5 lo g_{b} (x)

- lo g_{10} (5.33 x 1 0^{3})

2 (ln (7) - 3 ln (2))

ln (1 - x) - ln (1 + x)

What is 2000(ln(140000)-ln(87500))-245 ?
The solution to 2000(ln(140000)-ln(87500))-245 is 2000ln(8/5)-245