What is simplify-3ln(4x) ?

The solution to simplify-3ln(4x) is -6ln(2)-3ln(x)

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simplify-3ln(4x)

simplify

- 3 ln (4 x)

- 6 ln (2) - 3 ln (x)

Solution steps

- 3 ln (4 x)

Apply log rule:

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

3 ln (4 x) = 3 ln (4) + 3 ln (x)

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

3 ln (4) = 6 ln (2)

= - (3 ln (x) + 6 ln (2))

Distribute parentheses

= - (6 ln (2)) - (3 ln (x))

Apply minus-plus rules

+ (- a) = - a

= - 6 ln (2) - 3 ln (x)

lo g_{10} (1.42 \cdot 1 0^{- 5}) - (2.84 \cdot 1 0^{- 10})

ln (\frac{1.25}{0.2})

ln (\frac{7.63}{600})

lo g_{2} (x - 6) + lo g_{2} (x - 4) - lo g_{2} (x)