What is simplify-5ln(2x) ?

The solution to simplify-5ln(2x) is -5ln(2)-5ln(x)

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simplify-5ln(2x)

simplify

- 5 ln (2 x)

- 5 ln (2) - 5 ln (x)

Solution steps

- 5 ln (2 x)

Apply log rule:

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

5 ln (2 x) = 5 ln (2) + 5 ln (x)

= - (5 ln (x) + 5 ln (2))

Distribute parentheses

= - (5 ln (2)) - (5 ln (x))

Apply minus-plus rules

+ (- a) = - a

= - 5 ln (2) - 5 ln (x)

4 lo g_{6} (2) + lo g_{6} (3) + 6 lo g_{36} (3)

ln (x) + ln (11)

ln (\frac{2}{5 x ^{5} y})

lo g_{10} (\frac{m ^{3}}{n})

\frac{1}{2} ln (x) - ln (y) - ln (7)