What is (570(10.5))ln((1.5)/(10.5)) ?

The solution to (570(10.5))ln((1.5)/(10.5)) is 5985(ln(1.5)-ln(10.5))

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simplify (570(10.5))ln((1.5)/(10.5))

simplify

(570 (10.5)) ln (\frac{1.5}{10.5})

5985 (ln (1.5) - ln (10.5))

Decimal Notation

- 11646.27224 \dots

Solution steps

(570 (10.5)) ln (\frac{1.5}{10.5})

Apply log rule:

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

ln (\frac{1.5}{10.5}) = ln (1.5) - ln (10.5)

= 570 \cdot 10.5 (ln (1.5) - ln (10.5))

Multiply the numbers:

570 \cdot 10.5 = 5985

= 5985 (ln (1.5) - ln (10.5))

\frac{4 ln ( \frac{38}{45} )}{ln ( 10 )}

\frac{1}{4} lo g_{10} (945)

ln (x \cdot e^{x})

2 lo g_{10} (x) - 4 lo g_{10} (y)

- lo g_{10} (6.3 \cdot 1 0^{- 3})

What is (570(10.5))ln((1.5)/(10.5)) ?
The solution to (570(10.5))ln((1.5)/(10.5)) is 5985(ln(1.5)-ln(10.5))