What is ln(5.5*10^{(-15)}) ?

The solution to ln(5.5*10^{(-15)}) is ln(5.5)-15ln(10)

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simplify ln(5.5*10^{(-15)})

simplify

ln (5.5 \cdot 1 0^{(- 15)})

ln (5.5) - 15 ln (10)

Decimal

- 32.83402 \dots

Solution steps

ln (5.5 \cdot 1 0^{(- 15)})

Apply log rule:

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

ln (5.5 \cdot 1 0^{(- 15)}) = ln (5.5) + ln (1 0^{(- 15)})

= ln (5.5) + ln (1 0^{(- 15)})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (1 0^{(- 15)}) = (- 15) ln (10)

= ln (5.5) + (- 15) ln (10)

Remove parentheses:

(- a) = - a

= ln (5.5) - 15 ln (10)

- \frac{1}{2} ln (2) + \frac{1}{2} ln (3) + \frac{3}{2} ln (2)

50 \cdot ln (\frac{72}{54.8})

- lo g_{10} (6.21 x 1 0^{- 5})

\frac{1925.3}{ln ( 2 )} \cdot ln (\frac{1801}{627})

lo g_{10} (\frac{1}{5.25 \cdot 1 0 ^{- 8}})

What is ln(5.5*10^{(-15)}) ?
The solution to ln(5.5*10^{(-15)}) is ln(5.5)-15ln(10)