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Popular >

simplify ln(8.56*10^{-4})

Solution

simplify

ln (8.56 \cdot 1 0^{- 4})

Solution

ln (8.56) - 4 ln (10)

+1

Decimal Notation

- 7.06324 \dots

Solution steps

ln (8.56 \cdot 1 0^{- 4})

Apply log rule:

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

ln (8.56 \cdot 1 0^{- 4}) = ln (8.56) + ln (1 0^{- 4})

= ln (8.56) + ln (1 0^{- 4})

Apply log rule:

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

ln (1 0^{- 4}) = - 4 ln (10)

= ln (8.56) - 4 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(8.56*10^{-4}) ?
The solution to ln(8.56*10^{-4}) is ln(8.56)-4ln(10)