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Popular >

simplify ln(5*10^{-7})

Solution

simplify

ln (5 \cdot 1 0^{- 7})

Solution

ln (5) - 7 ln (10)

+1

Decimal Notation

- 14.50865 \dots

Solution steps

ln (5 \cdot 1 0^{- 7})

Apply log rule:

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

ln (5 \cdot 1 0^{- 7}) = ln (5) + ln (1 0^{- 7})

= ln (5) + ln (1 0^{- 7})

Apply log rule:

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

ln (1 0^{- 7}) = - 7 ln (10)

= ln (5) - 7 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(5*10^{-7}) ?
The solution to ln(5*10^{-7}) is ln(5)-7ln(10)