What is ln((2000)/(0.0012*(-5*10^{16))}) ?

The solution to ln((2000)/(0.0012*(-5*10^{16))}) is ln(2000)-ln(0.0012)-ln(-10^{16}*5)

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simplify ln((2000)/(0.0012(-510^{16))})

simplify

ln (\frac{2000}{0.0012 \cdot ( - 5 \cdot 1 0 ^{16} )})

ln (2000) - ln (0.0012) - ln (- 1 0^{16} \cdot 5)

Solution steps

ln (\frac{2000}{0.0012 ( - 5 \cdot 1 0 ^{16} )})

Apply log rule:

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

ln (\frac{2000}{0.0012 ( - 5 \cdot 1 0 ^{16} )}) = ln (2000) - ln (0.0012 (- 5 \cdot 1 0^{16}))

= ln (2000) - ln (0.0012 (- 1 0^{16} \cdot 5))

Apply log rule:

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

ln (0.0012 (- 5 \cdot 1 0^{16})) = ln (0.0012) + ln (- 5 \cdot 1 0^{16})

= ln (2000) - (ln (0.0012) + ln (- 1 0^{16} \cdot 5))

= ln (2000) - (ln (0.0012) + ln (- 1 0^{16} \cdot 5))

- (ln (0.0012) + ln (- 5 \cdot 1 0^{16})) : - ln (0.0012) - ln (- 5 \cdot 1 0^{16})

= ln (2000) - ln (0.0012) - ln (- 5 \cdot 1 0^{16})

= ln (2000) - ln (0.0012) - ln (- 1 0^{16} \cdot 5)

\frac{1}{10} ln (\frac{70}{80})

\frac{- ln ( \frac{y}{x} ) - 1}{x} + \frac{1}{x} + ln (\frac{y}{x})

lo g_{10} (11.1 + 3) + lo g_{10} (11.1 - 4)

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

ln (\frac{7 - 1 ^{2}}{1 + 1})

What is ln((2000)/(0.0012*(-5*10^{16))}) ?
The solution to ln((2000)/(0.0012*(-5*10^{16))}) is ln(2000)-ln(0.0012)-ln(-10^{16}*5)