What is log_{e}(3)+log_{e}(9) ?

The solution to log_{e}(3)+log_{e}(9) is 3ln(3)

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simplify log_{e}(3)+log_{e}(9)

simplify

lo g_{e} (3) + lo g_{e} (9)

3 ln (3)

Decimal Notation

3.29583 \dots

Solution steps

lo g_{e} (3) + lo g_{e} (9)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (3) + lo g_{e} (9)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (3) + ln (9)

ln (9) = 2 ln (3)

= ln (3) + 2 ln (3)

Add similar elements:

ln (3) + 2 ln (3) = 3 ln (3)

= 3 ln (3)

\frac{20 x ^{3} y ^{3}}{50 x ^{7} y}

e^{l n (x^{- 2})}

- x - 8

80 0^{2}

(5 x + 3) (x - 2)