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Popular >

simplify ln(1.8*10e^{-5})

Solution

simplify

ln (1.8 \cdot 10 e^{- 5})

Solution

ln (1.8) + ln (10) - 5

+1

Decimal Notation

- 2.10962 \dots

Solution steps

ln (1.8 \cdot 10 e^{- 5})

Apply log rule:

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

ln (1.8 \cdot 10 e^{- 5}) = ln (1.8) + ln (10) + ln (e^{- 5})

= ln (1.8) + ln (10) + ln (e^{- 5})

Apply log rule:

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

ln (e^{- 5}) = - 5 ln (e)

= ln (1.8) + ln (10) - 5 ln (e)

5 ln (e) = 5

= ln (1.8) + ln (10) - 5

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Frequently Asked Questions (FAQ)

What is ln(1.8*10e^{-5}) ?
The solution to ln(1.8*10e^{-5}) is ln(1.8)+ln(10)-5