What is ln((2950000+2200000)/(2950000))*2550 ?

The solution to ln((2950000+2200000)/(2950000))*2550 is 2550(ln(5150000)-ln(2950000))

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simplify ln((2950000+2200000)/(2950000))*2550

simplify

ln (\frac{2950000 + 2200000}{2950000}) \cdot 2550

2550 (ln (5150000) - ln (2950000))

Decimal Notation

1420.83843 \dots

Solution steps

ln (\frac{2950000 + 2200000}{2950000}) \cdot 2550

Apply log rule:

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

ln (\frac{2950000 + 2200000}{2950000}) = ln (2950000 + 2200000) - ln (2950000)

= 2550 (ln (2950000 + 2200000) - ln (2950000))

Add the numbers:

2950000 + 2200000 = 5150000

= 2550 (ln (5150000) - ln (2950000))

10 lo g_{10} (\frac{( 158 \cdot 1 0 ^{- 9} )}{20 \cdot 1 0 ^{- 3}})

lo g_{10} (3 - x) + lo g_{10} (4 - x^{2})

ln (13) - ln (7)

\frac{1}{2} lo g_{3} (x) + \frac{2}{3} lo g_{3} (y)

3 ln (x y)

What is ln((2950000+2200000)/(2950000))*2550 ?
The solution to ln((2950000+2200000)/(2950000))*2550 is 2550(ln(5150000)-ln(2950000))