What is ln(0.89x10^{-14}) ?

The solution to ln(0.89x10^{-14}) is ln(0.89)+ln(x)-14ln(10)

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simplify ln(0.89x10^{-14})

simplify

ln (0.89 x 1 0^{- 14})

ln (0.89) + ln (x) - 14 ln (10)

Solution steps

ln (0.89 x \cdot 1 0^{- 14})

Apply log rule:

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

ln (0.89 x \cdot 1 0^{- 14}) = ln (0.89) + ln (x) + ln (1 0^{- 14})

= ln (0.89) + ln (x) + ln (1 0^{- 14})

Apply log rule:

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

ln (1 0^{- 14}) = - 14 ln (10)

= ln (0.89) + ln (x) - 14 ln (10)

ln (y) + ln (t)

ln (a x e^{b x})

ln (ln (n) \cdot ln (n))

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

ln (\frac{1}{0.9})

What is ln(0.89x10^{-14}) ?
The solution to ln(0.89x10^{-14}) is ln(0.89)+ln(x)-14ln(10)