What is simplify-4ln(2x) ?

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

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simplify-4ln(2x)

simplify

- 4 ln (2 x)

- 4 ln (2) - 4 ln (x)

Solution steps

- 4 ln (2 x)

Apply log rule:

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

4 ln (2 x) = 4 ln (2) + 4 ln (x)

= - (4 ln (x) + 4 ln (2))

Distribute parentheses

= - (4 ln (2)) - (4 ln (x))

Apply minus-plus rules

+ (- a) = - a

= - 4 ln (2) - 4 ln (x)

- \frac{5 ln ( 50 )}{ln ( 2 )}

3.17 + lo g_{10} (\frac{0.34}{0.16})

ln (3) - ln (x)

2 lo g_{b} (u) + 9 lo g_{b} (v)

ln (\frac{7}{15})