What is ln((190(200-190))/(3600)) ?

The solution to ln((190(200-190))/(3600)) is ln(190)+ln(10)-2ln(60)

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simplify ln((190(200-190))/(3600))

simplify

ln (\frac{190 ( 200 - 190 )}{3600})

ln (190) + ln (10) - 2 ln (60)

Decimal Notation

- 0.63907 \dots

Solution steps

ln (\frac{190 ( 200 - 190 )}{3600})

Apply log rule:

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

ln (\frac{190 ( 200 - 190 )}{3600}) = ln (190 (200 - 190)) - ln (3600)

= ln (190 (200 - 190)) - ln (3600)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (190 (200 - 190)) = ln (190) + ln (200 - 190)

= ln (190) + ln (200 - 190) - ln (3600)

Subtract the numbers:

200 - 190 = 10

= ln (190) + ln (10) - ln (3600)

ln (3600) = 2 ln (60)

= ln (190) + ln (10) - 2 ln (60)

10.64 + lo g_{10} (\frac{0.1}{0.175})

- \frac{ln ( 50 ) + 41 ln ( 7 )}{8 ln ( 7 )}

ln (\frac{8 x ^{3}}{y})

\frac{1}{2} ln (6) + \frac{1}{2} ln (x) - \frac{1}{2} ln (x - 6)

What is ln((190(200-190))/(3600)) ?
The solution to ln((190(200-190))/(3600)) is ln(190)+ln(10)-2ln(60)