What is simplify-3ln(5x) ?

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

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simplify-3ln(5x)

simplify

- 3 ln (5 x)

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

Solution steps

- 3 ln (5 x)

Apply log rule:

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

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

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

Distribute parentheses

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

Apply minus-plus rules

+ (- a) = - a

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

ln (e \cdot \frac{x}{y})

ln (5 x e^{5 x})

b \cdot ln (a) - ln (a \cdot b)

\frac{ln ( 16 ) - ln ( 5 )}{( 12 - 2 )}

ln (\frac{m}{p}) + ln (p)