What is simplify-5ln(3x) ?

The solution to simplify-5ln(3x) is -5ln(3)-5ln(x)

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simplify-5ln(3x)

simplify

- 5 ln (3 x)

- 5 ln (3) - 5 ln (x)

Solution steps

- 5 ln (3 x)

Apply log rule:

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

5 ln (3 x) = 5 ln (3) + 5 ln (x)

= - (5 ln (x) + 5 ln (3))

Distribute parentheses

= - (5 ln (3)) - (5 ln (x))

Apply minus-plus rules

+ (- a) = - a

= - 5 ln (3) - 5 ln (x)

lo g_{e} (3 x^{2})

ln (x e^{v})

\frac{1}{4} ln (30 x)

- lo g_{10} (4 \cdot 1 0^{- 14})

ln^{2} (3) + ln^{2} (x)