What is ln(e^4)+ln(1000)+ln(\sqrt[5]{100}) ?

The solution to ln(e^4)+ln(1000)+ln(\sqrt[5]{100}) is 4+ln(1000\sqrt[5]{100})

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simplify ln(e^4)+ln(1000)+ln(\sqrt[5]{100})

simplify

Decimal Notation

11.82878 \dots

Solution steps

Apply log rule:

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

ln (e^{4}) = 4

- lo g_{10} (1.8 \cdot 1 0^{- 9})

- lo g_{10} (5.29 \cdot 1 0^{- 6})

- lo g_{10} (4.2 \cdot 1 0^{- 5})

lo g_{10} (1000 y)

ln (\frac{2.6}{3.2})

What is ln(e^4)+ln(1000)+ln(\sqrt[5]{100}) ?
The solution to ln(e^4)+ln(1000)+ln(\sqrt[5]{100}) is 4+ln(1000\sqrt[5]{100})