What is ln((0.01-2)/(0.01)) ?

The solution to ln((0.01-2)/(0.01)) is ln(-1.99)-ln(0.01)

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simplify ln((0.01-2)/(0.01))

simplify

ln (\frac{0.01 - 2}{0.01})

ln (- 1.99) - ln (0.01)

Solution steps

ln (\frac{0.01 - 2}{0.01})

Apply log rule:

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

ln (\frac{0.01 - 2}{0.01}) = ln (0.01 - 2) - ln (0.01)

= ln (0.01 - 2) - ln (0.01)

Subtract the numbers:

0.01 - 2 = - 1.99

= ln (- 1.99) - ln (0.01)

5 ln (\frac{106}{5})

8 ln (3) - 8 ln (2)

lo g_{e} (\frac{9}{4})

- lo g_{10} (8.07 \cdot 1 0^{- 7})

ln (e^{\frac{y}{x}} y)

What is ln((0.01-2)/(0.01)) ?
The solution to ln((0.01-2)/(0.01)) is ln(-1.99)-ln(0.01)