What is simplify-4+4log_{e}(3/(4e)) ?

The solution to simplify-4+4log_{e}(3/(4e)) is -4+4(ln(3)-ln(4e))

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simplify-4+4log_{e}(3/(4e))

simplify

- 4 + 4 lo g_{e} (\frac{3}{4 e})

- 4 + 4 (ln (3) - ln (4 e))

Decimal Notation

- 9.15072 \dots

Solution steps

- 4 + 4 lo g_{e} (\frac{3}{4 e})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{e} (\frac{3}{4 e}) = lo g_{e} (3) - lo g_{e} (4 e)

= - 4 + 4 (lo g_{e} (3) - lo g_{e} (4 e))

4 (lo g_{e} (3) - lo g_{e} (4 e)) = 4 (ln (3) - ln (4 e))

= - 4 + 4 (ln (3) - ln (4 e))

10 \cdot lo g_{10} (\frac{4 \cdot 1 0 ^{- 7}}{1 0 ^{- 12}})

ln (x^{4} e^{4 y})

10 lo g_{10} (x_{1}) - 10 lo g_{10} (x_{0})

10 lo g_{10} (\frac{( 150 \cdot 1 0 ^{- 9} )}{20 \cdot 1 0 ^{- 3}})

lo g_{e} (2 \cdot a \cdot x^{- a x^{2}})

What is simplify-4+4log_{e}(3/(4e)) ?
The solution to simplify-4+4log_{e}(3/(4e)) is -4+4(ln(3)-ln(4e))