What is 59ln(1/100) ?

The solution to 59ln(1/100) is -118ln(10)

Popular >

simplify 59ln(1/100)

simplify

59 ln (\frac{1}{100})

- 118 ln (10)

Decimal Notation

- 271.70504 \dots

Solution steps

59 ln (\frac{1}{100})

Apply log rule:

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

ln (\frac{1}{100}) = ln (1) - ln (100)

= 59 (ln (1) - ln (100))

Apply log rule:

lo g_{a} (1) = 0

= 59 (- ln (100) + 0)

0 - ln (100) = - ln (100)

= 59 (- ln (100))

Remove parentheses:

(- a) = - a

= - 59 ln (100)

Simplify

ln (100) : 2 ln (10)

= - 59 \cdot 2 ln (10)

Multiply the numbers:

59 \cdot 2 = 118

= - 118 ln (10)

lo g_{10} (\frac{1}{1 0 ^{521}})

ln (\frac{( 9 x + 16 y )}{( e ^{(1)} x ^{(2)} )})

- lo g_{10} (6.9 \cdot 1 0^{- 10})

lo g_{3} (sin (x) cos (x)) - lo g_{3} (3^{x} e^{x})

\frac{1}{- ( 0.005 )} [0.8 ln (\frac{1}{8}) + 0.2 ln (\frac{9}{2})]