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Popular >

simplify ln(10*10^{-6})

Solution

simplify

ln (10 \cdot 1 0^{- 6})

Solution

- 5 ln (10)

+1

Decimal Notation

- 11.51292 \dots

Solution steps

ln (10 \cdot 1 0^{- 6})

Apply log rule:

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

ln (10 \cdot 1 0^{- 6}) = ln (10) + ln (1 0^{- 6})

= ln (10) + ln (1 0^{- 6})

Apply log rule:

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

ln (1 0^{- 6}) = - 6 ln (10)

= ln (10) - 6 ln (10)

Add similar elements:

ln (10) - 6 ln (10) = - 5 ln (10)

= - 5 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(10*10^{-6}) ?
The solution to ln(10*10^{-6}) is -5ln(10)