What is simplify-ln((2.5)/3)*400 ?

The solution to simplify-ln((2.5)/3)*400 is -(ln(2.5)-ln(3))*400

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simplify-ln((2.5)/3)*400

simplify

- ln (\frac{2.5}{3}) \cdot 400

- (ln (2.5) - ln (3)) \cdot 400

Decimal Notation

72.92862 \dots

Solution steps

- ln (\frac{2.5}{3}) \cdot 400

Apply log rule:

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

ln (\frac{2.5}{3}) = ln (2.5) - ln (3)

= - 400 (ln (2.5) - ln (3))

= - (ln (2.5) - ln (3)) \cdot 400

ln (x) + ln (x^{2}) + ln (x^{3})

3 ln (6) - 3 ln (\frac{1}{2})

ln^{2} (\frac{( 1 )}{2})

2 lo g_{10} (x) - 10 lo g_{10} (y)

ln (e^{x} + 1) - ln (e^{- x} + 1)

What is simplify-ln((2.5)/3)*400 ?
The solution to simplify-ln((2.5)/3)*400 is -(ln(2.5)-ln(3))*400