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Popular >

simplify ln(9.4*10^{-5})

Solution

simplify

ln (9.4 \cdot 1 0^{- 5})

Solution

ln (9.4) - 5 ln (10)

+1

Decimal Notation

- 9.27221 \dots

Solution steps

ln (9.4 \cdot 1 0^{- 5})

Apply log rule:

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

ln (9.4 \cdot 1 0^{- 5}) = ln (9.4) + ln (1 0^{- 5})

= ln (9.4) + ln (1 0^{- 5})

Apply log rule:

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

ln (1 0^{- 5}) = - 5 ln (10)

= ln (9.4) - 5 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(9.4*10^{-5}) ?
The solution to ln(9.4*10^{-5}) is ln(9.4)-5ln(10)