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Popular >

simplify ln(0.89*10^{-14})

Solution

simplify

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

Solution

ln (0.89) - 14 ln (10)

+1

Decimal Notation

- 32.35272 \dots

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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