What is 2000(ln(140000)-ln(77000))-294 ?

The solution to 2000(ln(140000)-ln(77000))-294 is 2000ln(20/11)-294

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simplify 2000(ln(140000)-ln(77000))-294

simplify

2000 (ln (140000) - ln (77000)) - 294

2000 ln (\frac{20}{11}) - 294

Decimal Notation

901.67400 \dots

Solution steps

2000 (ln (140000) - ln (77000)) - 294

Apply log rule:

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

ln (140000) - ln (77000) = ln (\frac{140000}{77000})

= 2000 ln (\frac{140000}{77000}) - 294

Cancel the common factor:

7000

= 2000 ln (\frac{20}{11}) - 294

\frac{1}{2} ln (2 x) + \frac{5}{4} ln (4 x - 4) - \frac{3}{4} ln (4 x - 4)

ln (\frac{x ^{2} - 3 x}{x ^{2}})

2 ln (7) + 5 ln (y)

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

lo g_{10} (\frac{x}{3 y})

What is 2000(ln(140000)-ln(77000))-294 ?
The solution to 2000(ln(140000)-ln(77000))-294 is 2000ln(20/11)-294