What is ln((100000-20)/(20(50000))) ?

The solution to ln((100000-20)/(20(50000))) is ln(99980)-ln(20)-ln(50000)

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simplify ln((100000-20)/(20(50000)))

simplify

ln (\frac{100000 - 20}{20 ( 50000 )})

ln (99980) - ln (20) - ln (50000)

Decimal Notation

- 2.30278 \dots

Solution steps

ln (\frac{100000 - 20}{20 ( 50000 )})

Apply log rule:

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

ln (\frac{100000 - 20}{20 ( 50000 )}) = ln (100000 - 20) - ln (20 (50000))

= ln (100000 - 20) - ln (20 \cdot 50000)

Apply log rule:

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

ln (20 \cdot 50000) = ln (20) + ln (50000)

= ln (100000 - 20) - (ln (20) + ln (50000))

Subtract the numbers:

100000 - 20 = 99980

= ln (99980) - (ln (20) + ln (50000))

- (ln (20) + ln (50000)) : - ln (20) - ln (50000)

= ln (99980) - ln (20) - ln (50000)

lo g_{2} (39 x y^{2}) - lo g_{3} (27 x y)

ln (\frac{( x - y )}{( x ^{2} - y ^{2} )})

\frac{ln ^{2} ( 10 ) - ln ^{2} ( 2 ) - ln ^{2} ( 5 )}{2}

ln (x^{\frac{1}{3}} y^{\frac{1}{2}})

ln (z^{4} e^{2 z})

What is ln((100000-20)/(20(50000))) ?
The solution to ln((100000-20)/(20(50000))) is ln(99980)-ln(20)-ln(50000)