What is 800ln(20)-400-800ln(10) ?

The solution to 800ln(20)-400-800ln(10) is 800ln(2)-320000

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simplify 800ln(20)-400-800ln(10)

simplify

800 ln (20) - 400 - 800 ln (10)

800 ln (2) - 320000

Decimal Notation

- 319445.48225 \dots

Solution steps

800 ln (20) - 400 - 800 ln (10)

Apply log rule:

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

ln (20) - ln (10) = ln (\frac{20}{10})

= 800 ln (\frac{20}{10}) - 400 \cdot 800

Divide the numbers:

\frac{20}{10} = 2

= 800 ln (2) - 400 \cdot 800

Multiply the numbers:

400 \cdot 800 = 320000

= 800 ln (2) - 320000

\frac{1}{3} ln (\frac{26}{7})

ln (\frac{49}{4})

- ln (3) + ln (4)

(0.9) ln (8000) + (0.1) ln (7000)

ln (k x^{y})

What is 800ln(20)-400-800ln(10) ?
The solution to 800ln(20)-400-800ln(10) is 800ln(2)-320000